Stabilized equal lower-order finite element methods for simulating Brinkman equations in porous media

IF 1.7 4区 数学 Q2 MATHEMATICS, APPLIED International Journal of Computer Mathematics Pub Date : 2024-04-19 DOI:10.1080/00207160.2024.2343102
Hsueh-Chen Lee, Hyesuk Lee
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Abstract

This paper demonstrates the mixed formulation of the Brinkman problem using linear equal-order finite element methods in porous media modelling. We introduce Galerkin least-squares (GLS) and least-...
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模拟多孔介质中布林克曼方程的稳定等效低阶有限元方法
本文展示了在多孔介质建模中使用线性等阶有限元方法对布林克曼问题进行混合表述的方法。我们引入了 Galerkin 最小二乘(GLS)和最小二乘(LLS)方法。
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来源期刊
CiteScore
3.60
自引率
0.00%
发文量
72
审稿时长
5 months
期刊介绍: International Journal of Computer Mathematics (IJCM) is a world-leading journal serving the community of researchers in numerical analysis and scientific computing from academia to industry. IJCM publishes original research papers of high scientific value in fields of computational mathematics with profound applications to science and engineering. IJCM welcomes papers on the analysis and applications of innovative computational strategies as well as those with rigorous explorations of cutting-edge techniques and concerns in computational mathematics. Topics IJCM considers include: • Numerical solutions of systems of partial differential equations • Numerical solution of systems or of multi-dimensional partial differential equations • Theory and computations of nonlocal modelling and fractional partial differential equations • Novel multi-scale modelling and computational strategies • Parallel computations • Numerical optimization and controls • Imaging algorithms and vision configurations • Computational stochastic processes and inverse problems • Stochastic partial differential equations, Monte Carlo simulations and uncertainty quantification • Computational finance and applications • Highly vibrant and robust algorithms, and applications in modern industries, including but not limited to multi-physics, economics and biomedicine. Papers discussing only variations or combinations of existing methods without significant new computational properties or analysis are not of interest to IJCM. Please note that research in the development of computer systems and theory of computing are not suitable for submission to IJCM. Please instead consider International Journal of Computer Mathematics: Computer Systems Theory (IJCM: CST) for your manuscript. Please note that any papers submitted relating to these fields will be transferred to IJCM:CST. Please ensure you submit your paper to the correct journal to save time reviewing and processing your work. Papers developed from Conference Proceedings Please note that papers developed from conference proceedings or previously published work must contain at least 40% new material and significantly extend or improve upon earlier research in order to be considered for IJCM.
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