Mathematically Founded Design of Adaptive Finite Element Software
DOI10.1007/978-3-642-24079-9_4zbMath1250.65142OpenAlexW977568565WikidataQ56996124 ScholiaQ56996124MaRDI QIDQ2911789
Publication date: 3 September 2012
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-642-24079-9_4
algorithmadaptive finite element methodsPoisson equationerror estimatorslocal refinementsecond order elliptic equation
Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Packaged methods for numerical algorithms (65Y15)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A posteriori error estimators for the Stokes equations
- An algorithm for adaptive mesh refinement in \(n\) dimensions
- Elliptic partial differential equations of second order
- Design of adaptive finite element software. The finite element toolbox ALBERTA. With CD-ROM
- Adaptive finite element methods with convergence rates
- A recursive approach to local mesh refinement in two and three dimensions
- Tetrahedral grid refinement
- Simplicial grid refinement: On Freudenthal's algorithm and the optimal number of congruence classes
- Decay rates of adaptive finite elements with Dörfler marking
- Optimality of a standard adaptive finite element method
- Error-bounds for finite element method
- Theory of adaptive finite element methods: An introduction
- Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method
- Mesh Refinement Processes Based on the Generalized Bisection of Simplices
- Local mesh refinement in 2 and 3 dimensions
- Error Estimates for Adaptive Finite Element Computations
- A Posteriori Error Estimates for Nonlinear Problems. Finite Element Discretizations of Elliptic Equations
- Local Bisection Refinement for N-Simplicial Grids Generated by Reflection
- On the a posteriori error analysis for equations of prescribed mean curvature
- Data Oscillation and Convergence of Adaptive FEM
- Locally Adapted Tetrahedral Meshes Using Bisection
- Convergence of Adaptive Finite Element Methods
- Quality Local Refinement of Tetrahedral Meshes Based on Bisection
- A Convergent Adaptive Algorithm for Poisson’s Equation
- The completion of locally refined simplicial partitions created by bisection
- The Mathematical Theory of Finite Element Methods
This page was built for publication: Mathematically Founded Design of Adaptive Finite Element Software