Mixed FEM for Second Order Elliptic Problems on Polygonal Meshes with BEM-Based Spaces

DOI10.1007/978-3-662-43880-0_37OpenAlexW957628565MaRDI QIDQ5116368

Steffen Weißer, Juan Galvis, Raytcho D. Lazarov, Yalchin R. Efendiev

Publication date: 25 August 2020

Published in: Large-Scale Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-662-43880-0_37

zbMATH Keywords

mixed formulationpolygonal meshBEM-based FEM

Mathematics Subject Classification ID

Numerical analysis (65-XX)

Related Items

Arbitrary order Trefftz-like basis functions on polygonal meshes and realization in BEM-based FEM ⋮ Convection-adapted BEM-based FEM ⋮ FEM with Trefftz trial functions on polyhedral elements ⋮ Residual based error estimate and quasi-interpolation on polygonal meshes for high order BEM-based FEM ⋮ A Family of $H(div)$ Finite Element Approximations on Polygonal Meshes

Cites Work

• Residual error estimate for BEM-based FEM on polygonal meshes
• From the Boundary Element Domain Decomposition Methods to Local Trefftz Finite Element Methods on Polyhedral Meshes
• Numerical Approximation Methods for Elliptic Boundary Value Problems
• Multiscale Finite Element Methods
• Mixed and Hybrid Finite Element Methods
• New mixed finite element method on polygonal and polyhedral meshes
• A mixed multiscale finite element method for elliptic problems with oscillating coefficients
• Higher Order BEM-Based FEM on Polygonal Meshes
• BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
• Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes

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