Isoparametric finite element analysis of a generalized Robin boundary value problem on curved domains

DOI10.5802/smai-jcm.71zbMath1472.65143arXiv2009.11092OpenAlexW3139467266MaRDI QIDQ2025731

Dominik Edelmann

Publication date: 17 May 2021

Published in: SMAI Journal of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.11092

zbMATH Keywords

finite element methoderror analysisLaplace-Beltrami operatorisoparametric finite elementsgeneralized Robin boundary conditions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

Geometric transformation of finite element methods: theory and applications

Uses Software

• DistMesh
• P2Q2Iso2D

Cites Work

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• Derivation and physical interpretation of general boundary conditions
• P2Q2Iso2D=2D isoparametric FEM in Matlab
• Well-Posedness, Regularity, and Convergence Analysis of the Finite Element Approximation of a Generalized Robin Boundary Value Problem
• Analysis and Optimization of Robin–Robin Partitioned Procedures in Fluid-Structure Interaction Problems
• Optimized Schwarz Waveform Relaxation: Roots, Blossoms and Fruits
• Finite elements on evolving surfaces
• Higher-Order Finite Element Methods and Pointwise Error Estimates for Elliptic Problems on Surfaces
• Optimal Isoparametric Finite Elements and Error Estimates for Domains Involving Curved Boundaries
• Optimal Finite-Element Interpolation on Curved Domains
• A Simple Mesh Generator in MATLAB
• Finite element analysis for a coupled bulk-surface partial differential equation
• Optimized Schwarz Waveform Relaxation Methods for Advection Reaction Diffusion Problems
• Finite element methods for surface PDEs
• Generalized Robin Boundary Conditions, Robin-to-Dirichlet Maps, and Krein-Type Resolvent Formulas for Schr\"odinger Operators on Bounded Lipschitz Domains
• Discrete Vector Potential Representation of a Divergence-Free Vector Field in Three-Dimensional Domains: Numerical Analysis of a Model Problem

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