Pub Date : 2016-11-09DOI: 10.22219/SENTRA.V0I2.1826
Dana Marsetiya Utama
Makalah ini menjelaskan perbandingan penggunaan aturan prioritas penjadwalan pada penjadwalan Non Delay N Job dengan 5 mesin untuk meminimasi makespan. Metode dispatching rule yang digunakan adalah jadwal Non Delay dengan 7 job yang dikerjakan menggunakan 5 mesin. Aturan prioritas yang akan dibandingkan untuk mencari nilai makespan adalah Shortest Processing Time (SPT), Longest Processing Time (LPT), Most Working Remaining (MWR), Least Working Remaining (LWR) dan Longest Remaining processing time Machine (LRM). Hasil dari penelitian Aturan prioritas Most Working Remaining (MWR) pada penjadwalan non delay menghasilkan Makespan 770 menit. Menunjukan bahwa aturan prioritas Most Working Remaining (MWR) memberikan minimasi makespan terbaik dari aturan prioritas lainya.
{"title":"ANALISA PERBANDINGAN PENGGUNAAN ATURAN PRIORITAS PENJADWALAN PADA PENJADWALAN NON DELAY N JOB 5 MACHINE","authors":"Dana Marsetiya Utama","doi":"10.22219/SENTRA.V0I2.1826","DOIUrl":"https://doi.org/10.22219/SENTRA.V0I2.1826","url":null,"abstract":"Makalah ini menjelaskan perbandingan penggunaan aturan prioritas penjadwalan pada penjadwalan Non Delay N Job dengan 5 mesin untuk meminimasi makespan. Metode dispatching rule yang digunakan adalah jadwal Non Delay dengan 7 job yang dikerjakan menggunakan 5 mesin. Aturan prioritas yang akan dibandingkan untuk mencari nilai makespan adalah Shortest Processing Time (SPT), Longest Processing Time (LPT), Most Working Remaining (MWR), Least Working Remaining (LWR) dan Longest Remaining processing time Machine (LRM). Hasil dari penelitian Aturan prioritas Most Working Remaining (MWR) pada penjadwalan non delay menghasilkan Makespan 770 menit. Menunjukan bahwa aturan prioritas Most Working Remaining (MWR) memberikan minimasi makespan terbaik dari aturan prioritas lainya.","PeriodicalId":22276,"journal":{"name":"The annual research report","volume":"67 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2016-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86077870","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The objective of this research was to understand comprehensively the Financial Independent in Organization of Education through Entrepreneurship and partnership. it was a qualitative research with study case method conducted in Al Ashriyyah Nurul Iman Islamic Boarding School, Parung-Bogor. In this research data collecting with triangulation technique, Overall the researchers use participant observation, in-depth interviews, and documentation for the same data sources simultaneously. As a private educational institution, Al Ashriyyah Nurul Iman Foundation since its inception independently manage and develop the foundation to establish a wide range of entrepreneurial and cooperation with various institutions and circles. Financial independence has always strived through two things very well. Develop without relying on finance from other parties is a priority for YANIIBS, so that entrepreneurship and partnerships with these institutions become more developed and advanced
本研究的目的是全面了解通过企业家精神和伙伴关系的教育组织的财务独立性。这是在Parung-Bogor Al Ashriyyah Nurul Iman伊斯兰寄宿学校进行的定性研究，采用研究案例法。在本研究的数据收集与三角测量技术，总的来说，研究人员使用参与式观察，深度访谈，并对同一数据源同时记录。作为一家私立教育机构，阿什利亚努鲁伊曼基金会自成立以来，独立管理和发展基金会，与各机构和各界建立了广泛的创业和合作关系。财务独立总是能很好地解决两件事。不依赖外部融资的发展是YANIIBS的重点，使创业和与这些机构的合作更加发达和先进
{"title":"KEMANDIRIAN FINANSIAL LEMBAGA PENDIDIKAN MELALUI ENTREPRENEURSHIP DAN PARTNERSHIP (Studi Kasus Al Ashriyyah Nurul Iman Islamic Boarding School Parung Bogor)","authors":"Subaiki Ikhwan, A. Romadhon, .. Moh.Supendi","doi":"10.21009/JMP.07101","DOIUrl":"https://doi.org/10.21009/JMP.07101","url":null,"abstract":"The objective of this research was to understand comprehensively the Financial Independent in Organization of Education through Entrepreneurship and partnership. it was a qualitative research with study case method conducted in Al Ashriyyah Nurul Iman Islamic Boarding School, Parung-Bogor. In this research data collecting with triangulation technique, Overall the researchers use participant observation, in-depth interviews, and documentation for the same data sources simultaneously. As a private educational institution, Al Ashriyyah Nurul Iman Foundation since its inception independently manage and develop the foundation to establish a wide range of entrepreneurial and cooperation with various institutions and circles. Financial independence has always strived through two things very well. Develop without relying on finance from other parties is a priority for YANIIBS, so that entrepreneurship and partnerships with these institutions become more developed and advanced","PeriodicalId":22276,"journal":{"name":"The annual research report","volume":"44 1","pages":"270-275"},"PeriodicalIF":0.0,"publicationDate":"2016-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85722483","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2016-03-14DOI: 10.22219/sentra.v0i1.2013
Dian Palupi Restuputri
Kenyamanan perawatan pada pasien di rumah sakit harus benar – benar diperhatikan. Karena kenyamanan tersebut mempengaruhi kesembuhan penderita penyakit. Berdasarkan hasil survey penelitian awal didapat data keluhan ibu mengenai ranjang yang digunakan, seperti ranjang tidak mendukung ibu menyusui bayi yang baru dilahirkan dengan nyaman, ibu kesulitan untuk memindahkan bayi pada saat akan menyusui, karena ranjang bayi tidak menjadi satu dengan ranjang sang ibu. Penelitian ini bertujuan untuk memberikan usulan perbaikan perancangan desain ranjang untuk ibu yang baru melahirkan dengan memperhatikan aspek Ergonomi. Hasil perancangan ranjang ibu dengan dimensi yaitu tinggi ranjang sebesar 70,6 cm, panjang alas ranjang sebesar 181,8 cm, lebar alas ranjang sebesar 53,3 cm, panjang alas ranjang bagian atas sebesar 71,2 cm, panjang alas ranjang bagian bawah sebesar 87,9 cm, panjang ranjang sebesar 186,8 cm, lebar ranjang sebesar 58,3 cm. Dimensi ranjang bayi yaitu panjang ranjang sebesar 62 cm dan lebar ranjang 23,3 Cm. Bentuk akhir ranjang ibu menyusui disatukan dengan ranjang bayinya.
{"title":"Perancangan Desain Ranjang Untuk Ibu dan Bayi","authors":"Dian Palupi Restuputri","doi":"10.22219/sentra.v0i1.2013","DOIUrl":"https://doi.org/10.22219/sentra.v0i1.2013","url":null,"abstract":"Kenyamanan perawatan pada pasien di rumah sakit harus benar – benar diperhatikan. Karena kenyamanan tersebut mempengaruhi kesembuhan penderita penyakit. Berdasarkan hasil survey penelitian awal didapat data keluhan ibu mengenai ranjang yang digunakan, seperti ranjang tidak mendukung ibu menyusui bayi yang baru dilahirkan dengan nyaman, ibu kesulitan untuk memindahkan bayi pada saat akan menyusui, karena ranjang bayi tidak menjadi satu dengan ranjang sang ibu. Penelitian ini bertujuan untuk memberikan usulan perbaikan perancangan desain ranjang untuk ibu yang baru melahirkan dengan memperhatikan aspek Ergonomi. Hasil perancangan ranjang ibu dengan dimensi yaitu tinggi ranjang sebesar 70,6 cm, panjang alas ranjang sebesar 181,8 cm, lebar alas ranjang sebesar 53,3 cm, panjang alas ranjang bagian atas sebesar 71,2 cm, panjang alas ranjang bagian bawah sebesar 87,9 cm, panjang ranjang sebesar 186,8 cm, lebar ranjang sebesar 58,3 cm. Dimensi ranjang bayi yaitu panjang ranjang sebesar 62 cm dan lebar ranjang 23,3 Cm. Bentuk akhir ranjang ibu menyusui disatukan dengan ranjang bayinya.","PeriodicalId":22276,"journal":{"name":"The annual research report","volume":"42 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2016-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80664392","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Intervensi Care Support Treatment Bersasaran Anak dengan HIV/AIDS: Sebuah Model Pendekatan Humanistik Bagi Anak dan Lingkungannya dalam Menghadapi Stigma 1) Zakarija Achmat, 2) Amelia Pramono 1)Fakultas Psikologi Universitas Muhammadiyah Malang, Jln. Raya Tlogomas no. 246, Malang 65144; 2)Klinik VCT RSI UNISMA, Jl. MT Haryono 139 Malang, Kota Malang, (0341) 551257. Email : tiga_anakku@yahoo.com Abstract : Stigma merupakan pandangan yang buruk dan merugikan yang dialami oleh penderita HIV dalam hubungan sosial masyarakat. Pada anak-anak penderita HIV/AIDS, pastilah hal ini sangat merugikan proses tumbuh kembang mereka. Apalagi, bukanlah hal yang mudah untuk membuat anak-anak mengerti apa yang terjadi pada dirinya dikaitkan dengan stigma terhadap penyakitnya. Sebagian besar anak di bawah usia 10 tahun yang terinfeksi HIV tertular oleh ibunya, yang dapat terjadi selama dalam kandungan, waktu melahirkan atau melalui proses pemberian ASI. Keywords : CST, VCT, pendekatan humanistik, stigma
Care Support Treatment与艾滋病毒/艾滋病儿童合作:一种针对儿童及其环境的人道主义方法模型，面对耻辱1)Zakarija Achmat, 2) Amelia Pramono 1)没有。246，马郎65144;2) VCT RSI UNISMA诊所，圣路。不幸的139山，不幸的城市，(0341)551257。电子邮件:三名anakku@yahoo.com Abstract:耻辱是艾滋病毒患者在社会关系中的有害观点。对于艾滋病毒/艾滋病患者的儿童来说，这无疑对他们的花朵生长有很大的影响。毕竟，让孩子们了解发生在他们身上的事情与疾病的耻辱是不容易的。大多数10岁以下感染艾滋病毒的儿童的母亲都感染了艾滋病毒，这种病毒可能发生在分娩、分娩或母乳喂养的过程中。CST, VCT，一种人性化的方法，一种耻辱
{"title":"INTERVENSI CARE SUPPORT TREATMENT BERSASARAN ANAK DENGAN HIV/AIDS: SEBUAH MODEL PENDEKATAN HUMANISTIK BAGI ANAK DAN LINGKUNGANNYA DALAM MENGHADAPI STIGMA","authors":"Zakarija Achmat","doi":"10.22219/jpa.v1i1.2746","DOIUrl":"https://doi.org/10.22219/jpa.v1i1.2746","url":null,"abstract":"Intervensi Care Support Treatment Bersasaran Anak dengan HIV/AIDS: Sebuah Model Pendekatan Humanistik Bagi Anak dan Lingkungannya dalam Menghadapi Stigma 1) Zakarija Achmat, 2) Amelia Pramono 1)Fakultas Psikologi Universitas Muhammadiyah Malang, Jln. Raya Tlogomas no. 246, Malang 65144; 2)Klinik VCT RSI UNISMA, Jl. MT Haryono 139 Malang, Kota Malang, (0341) 551257. Email : tiga_anakku@yahoo.com Abstract : Stigma merupakan pandangan yang buruk dan merugikan yang dialami oleh penderita HIV dalam hubungan sosial masyarakat. Pada anak-anak penderita HIV/AIDS, pastilah hal ini sangat merugikan proses tumbuh kembang mereka. Apalagi, bukanlah hal yang mudah untuk membuat anak-anak mengerti apa yang terjadi pada dirinya dikaitkan dengan stigma terhadap penyakitnya. Sebagian besar anak di bawah usia 10 tahun yang terinfeksi HIV tertular oleh ibunya, yang dapat terjadi selama dalam kandungan, waktu melahirkan atau melalui proses pemberian ASI. Keywords : CST, VCT, pendekatan humanistik, stigma","PeriodicalId":22276,"journal":{"name":"The annual research report","volume":"186 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2016-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73424504","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Abstract : Hybrid warfare will be the most likely type of conflict the US and its allies will face in the future. Hybrid warfare is the use of conventional and unconventional ways and means by any combination of state and non-state actors within the same battlespace. Conventional and unconventional ways and means include forces, weapons and tactics, and are characterized by the use of modern technology and a high degree of unity of effort between regular and irregular forces. The argument that hybrid warfare will be the most likely type of conflict the US and its allies will face in the future is based on a convergence of three geopolitical drivers. These include, the transformation of traditional governing structures, disputes over political power caused by long-standing cultural differences and state sponsorship of insurgencies and revolutions. Traditional security interests will lead to state sponsorship of internal conflicts as states choose sides in these struggles for power. The wars that result will be characterized by conventional and unconventional ways and means, producing hybrid war. Our own security interests and the interests of our allies will draw us into these wars, as we seek to maintain international order and prevent the spillover effects of war. The strategic framework for preventing hybrid wars and deterring/defeating hybrid adversaries is based on two pillars. The first pillar consists of actions to assist and support weak or failing states. The second pillar consists of actions directed toward the hybrid adversary, which will most likely be a combination of a non-state actor and an internationally recognized state actor. Through use of the ongoing conflict in Ukraine as a case study, the implications of the analysis argue for building a balanced force that can simultaneously employ across the full spectrum of operations and rapidly deploy to all areas of the globe.
{"title":"Hybrid Warfare: Preparing for Future Conflict","authors":"M. Miller","doi":"10.21236/ADA618902","DOIUrl":"https://doi.org/10.21236/ADA618902","url":null,"abstract":"Abstract : Hybrid warfare will be the most likely type of conflict the US and its allies will face in the future. Hybrid warfare is the use of conventional and unconventional ways and means by any combination of state and non-state actors within the same battlespace. Conventional and unconventional ways and means include forces, weapons and tactics, and are characterized by the use of modern technology and a high degree of unity of effort between regular and irregular forces. The argument that hybrid warfare will be the most likely type of conflict the US and its allies will face in the future is based on a convergence of three geopolitical drivers. These include, the transformation of traditional governing structures, disputes over political power caused by long-standing cultural differences and state sponsorship of insurgencies and revolutions. Traditional security interests will lead to state sponsorship of internal conflicts as states choose sides in these struggles for power. The wars that result will be characterized by conventional and unconventional ways and means, producing hybrid war. Our own security interests and the interests of our allies will draw us into these wars, as we seek to maintain international order and prevent the spillover effects of war. The strategic framework for preventing hybrid wars and deterring/defeating hybrid adversaries is based on two pillars. The first pillar consists of actions to assist and support weak or failing states. The second pillar consists of actions directed toward the hybrid adversary, which will most likely be a combination of a non-state actor and an internationally recognized state actor. Through use of the ongoing conflict in Ukraine as a case study, the implications of the analysis argue for building a balanced force that can simultaneously employ across the full spectrum of operations and rapidly deploy to all areas of the globe.","PeriodicalId":22276,"journal":{"name":"The annual research report","volume":"10 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2015-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89117355","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2014-10-01DOI: 10.3929/ETHZ-A-010386160
M. Hansen
In a continuation of recent work on Besov regularity of solutions to elliptic PDEs in Lipschitz domains with polyhedral structure, we prove an embedding between weighted Sobolev spaces (Kondratiev spaces) relevant for the regularity theory for such elliptic problems, and TriebelLizorkin spaces, which are known to be closely related to approximation spaces for nonlinear n-term wavelet approximation. Additionally, we also provide necessary conditions for such embeddings. As a further application we discuss the relation of these embedding results with results by Gaspoz and Morin for approximation classes for adaptive Finite element approximation, and subsequently apply these result to parametric problems.
{"title":"A new embedding result for Kondratiev spaces and application to adaptive approximation of elliptic PDEs","authors":"M. Hansen","doi":"10.3929/ETHZ-A-010386160","DOIUrl":"https://doi.org/10.3929/ETHZ-A-010386160","url":null,"abstract":"In a continuation of recent work on Besov regularity of solutions to elliptic PDEs in Lipschitz domains with polyhedral structure, we prove an embedding between weighted Sobolev spaces (Kondratiev spaces) relevant for the regularity theory for such elliptic problems, and TriebelLizorkin spaces, which are known to be closely related to approximation spaces for nonlinear n-term wavelet approximation. Additionally, we also provide necessary conditions for such embeddings. As a further application we discuss the relation of these embedding results with results by Gaspoz and Morin for approximation classes for adaptive Finite element approximation, and subsequently apply these result to parametric problems.","PeriodicalId":22276,"journal":{"name":"The annual research report","volume":"25 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2014-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81498060","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2014-06-01DOI: 10.3929/ETHZ-A-010386245
J. Dick, F. Kuo, Q. Gia, C. Schwab
We develop a convergence analysis of a multi-level algorithm combining higher order quasi-Monte Carlo (QMC) quadratures with general Petrov-Galerkin discretizations of countably affine parametric operator equations of elliptic and parabolic type, extending both the multi-level first order analysis in [emph{F.Y.~Kuo, Ch.~Schwab, and I.H.~Sloan, Multi-level quasi-Monte Carlo finite element methods for a class of elliptic partial differential equations with random coefficient} (in review)] and the single level higher order analysis in [emph{J.~Dick, F.Y.~Kuo, Q.T.~Le~Gia, D.~Nuyens, and Ch.~Schwab, Higher order QMC Galerkin discretization for parametric operator equations} (in review)]. We cover, in particular, both definite as well as indefinite, strongly elliptic systems of partial differential equations (PDEs) in non-smooth domains, and discuss in detail the impact of higher order derivatives of {KL} eigenfunctions in the parametrization of random PDE inputs on the convergence results. Based on our emph{a-priori} error bounds, concrete choices of algorithm parameters are proposed in order to achieve a prescribed accuracy under minimal computational work. Problem classes and sufficient conditions on data are identified where multi-level higher order QMC Petrov-Galerkin algorithms outperform the corresponding single level versions of these algorithms. Numerical experiments confirm the theoretical results.
{"title":"Multi-level higher order QMC Galerkin discretization for affine parametric operator equations","authors":"J. Dick, F. Kuo, Q. Gia, C. Schwab","doi":"10.3929/ETHZ-A-010386245","DOIUrl":"https://doi.org/10.3929/ETHZ-A-010386245","url":null,"abstract":"We develop a convergence analysis of a multi-level algorithm combining higher order quasi-Monte Carlo (QMC) quadratures with general Petrov-Galerkin discretizations of countably affine parametric operator equations of elliptic and parabolic type, extending both the multi-level first order analysis in [emph{F.Y.~Kuo, Ch.~Schwab, and I.H.~Sloan, Multi-level quasi-Monte Carlo finite element methods for a class of elliptic partial differential equations with random coefficient} (in review)] and the single level higher order analysis in [emph{J.~Dick, F.Y.~Kuo, Q.T.~Le~Gia, D.~Nuyens, and Ch.~Schwab, Higher order QMC Galerkin discretization for parametric operator equations} (in review)]. We cover, in particular, both definite as well as indefinite, strongly elliptic systems of partial differential equations (PDEs) in non-smooth domains, and discuss in detail the impact of higher order derivatives of {KL} eigenfunctions in the parametrization of random PDE inputs on the convergence results. Based on our emph{a-priori} error bounds, concrete choices of algorithm parameters are proposed in order to achieve a prescribed accuracy under minimal computational work. Problem classes and sufficient conditions on data are identified where multi-level higher order QMC Petrov-Galerkin algorithms outperform the corresponding single level versions of these algorithms. Numerical experiments confirm the theoretical results.","PeriodicalId":22276,"journal":{"name":"The annual research report","volume":"156 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2014-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91134520","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2014-01-01DOI: 10.3929/ETHZ-A-010406377
D. Schötzau, C. Schwab, T. Wihler, M. Wirz
We review the recent results of D. Schotzau et al. (hp-dGFEM for elliptic problems in polyhedra. I: Stability and quasioptimality on geometric meshes. Technical report 2009-28, Seminar for applied mathematics, ETH Zurich, 2009. To appear in SIAM J Numer Anal, 2013; hp-dGFEM for elliptic problems in polyhedra. II: Exponential convergence. Technical report 2009-29, Seminar for applied mathematics, ETH Zurich, 2009. To appear in SIAM J Numer Anal, 2013), and establish the exponential convergence of hp-version discontinuous Galerkin finite element methods for the numerical approximation of linear second-order elliptic boundary-value problems with homogeneous Dirichlet boundary conditions and constant coefficients in three-dimsional and axiparallel polyhedra. The exponential rates are confirmed in a series of numerical tests.
{"title":"Exponential Convergence of hp -DGFEM for Elliptic Problems in Polyhedral Domains","authors":"D. Schötzau, C. Schwab, T. Wihler, M. Wirz","doi":"10.3929/ETHZ-A-010406377","DOIUrl":"https://doi.org/10.3929/ETHZ-A-010406377","url":null,"abstract":"We review the recent results of D. Schotzau et al. (hp-dGFEM for elliptic problems in polyhedra. I: Stability and quasioptimality on geometric meshes. Technical report 2009-28, Seminar for applied mathematics, ETH Zurich, 2009. To appear in SIAM J Numer Anal, 2013; hp-dGFEM for elliptic problems in polyhedra. II: Exponential convergence. Technical report 2009-29, Seminar for applied mathematics, ETH Zurich, 2009. To appear in SIAM J Numer Anal, 2013), and establish the exponential convergence of hp-version discontinuous Galerkin finite element methods for the numerical approximation of linear second-order elliptic boundary-value problems with homogeneous Dirichlet boundary conditions and constant coefficients in three-dimsional and axiparallel polyhedra. The exponential rates are confirmed in a series of numerical tests.","PeriodicalId":22276,"journal":{"name":"The annual research report","volume":"14 1","pages":"57-73"},"PeriodicalIF":0.0,"publicationDate":"2014-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84383731","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2013-12-30DOI: 10.3929/ETHZ-A-010386302
M. Eigel, C. J. Gittelson, C. Schwab, E. Zander
We analyze a posteriori error estimation and adaptive refinement algorithms for stochastic Galerkin Finite Element methods for countably-parametric, elliptic boundary value problems. A resid- ual error estimator which separates the effects of gpc-Galerkin discretization in parameter space and of the Finite Element discretization in physical space in energy norm is established. It is proved that the adaptive algorithm converges. To this end, a contraction property of its iterates is proved. It is shown that the sequences of triangulations which are produced by the algorithm in the FE discretization of the active gpc coefficients are asymptotically optimal. Numerical experiments illustrate the theoretical results.
{"title":"A convergent adaptive stochastic Galerkin finite element method with quasi-optimal spatial meshes","authors":"M. Eigel, C. J. Gittelson, C. Schwab, E. Zander","doi":"10.3929/ETHZ-A-010386302","DOIUrl":"https://doi.org/10.3929/ETHZ-A-010386302","url":null,"abstract":"We analyze a posteriori error estimation and adaptive refinement algorithms for stochastic Galerkin Finite Element methods for countably-parametric, elliptic boundary value problems. A resid- ual error estimator which separates the effects of gpc-Galerkin discretization in parameter space and of the Finite Element discretization in physical space in energy norm is established. It is proved that the adaptive algorithm converges. To this end, a contraction property of its iterates is proved. It is shown that the sequences of triangulations which are produced by the algorithm in the FE discretization of the active gpc coefficients are asymptotically optimal. Numerical experiments illustrate the theoretical results.","PeriodicalId":22276,"journal":{"name":"The annual research report","volume":"66 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2013-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90595456","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2013-08-01DOI: 10.3929/ETHZ-A-010394235
C. Schwab, C. Schillings
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