A linear Uzawa-type FEM-BEM solver for nonlinear transmission problems
From MaRDI portal
Publication:1999656
DOI10.1016/j.camwa.2017.12.035zbMath1415.65247arXiv1703.10796OpenAlexW3147590534MaRDI QIDQ1999656
Thomas Führer, Dirk Praetorius
Publication date: 27 June 2019
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.10796
Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Boundary element methods for boundary value problems involving PDEs (65N38) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Quasilinear elliptic equations (35J62)
Related Items (7)
Choice of an initial guess for Newton's method to solve nonlinear differential equations ⋮ Multilevel Uzawa and Arrow-Hurwicz algorithms for general saddle point problems ⋮ An iterative decomposition coupling algorithm between TD-FEM and TD-BEM with independent spatial discretization on the interface ⋮ Goal-oriented adaptive finite element methods with optimal computational complexity ⋮ A short note on plain convergence of adaptive least-squares finite element methods ⋮ An optimal adaptive Fictitious Domain Method ⋮ Rate optimality of adaptive finite element methods with respect to overall computational costs
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Axioms of adaptivity
- Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity
- On 2D newest vertex bisection: optimality of mesh-closure and \(H ^{1}\)-stability of \(L _{2}\)-projection
- Convergence of adaptive BEM and adaptive FEM-BEM coupling for estimators without \(h\)-weighting factor
- A non-symmetric coupling of the finite volume method and the boundary element method
- Experimental convergence rates for various couplings of boundary and finite elements
- Uniform convergence of multigrid V-cycle on adaptively refined finite element meshes for second order elliptic problems
- Stability of symmetric and nonsymmetric FEM-BEM couplings for nonlinear elasticity problems
- Quasi-optimal convergence rates for adaptive boundary element methods with data approximation. I: Weakly-singular integral equation
- Adaptive FEM with coarse initial mesh guarantees optimal convergence rates for compactly perturbed elliptic problems
- Optimal additive Schwarz preconditioning for hypersingular integral equations on locally refined triangulations
- Adaptive boundary element methods with convergence rates
- Optimality of a standard adaptive finite element method
- On the ellipticity of coupled finite element and one-equation boundary element methods for boundary value problems
- Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems
- Quasi-optimal Convergence Rate for an Adaptive Boundary Element Method
- Stopping Criteria for Adaptive Finite Element Solvers
- Is the one-equation coupling of finite and boundary element methods always stable?
- The Validity of Johnson–Nédélec's BEM–FEM Coupling on Polygonal Interfaces
- A Note on the Stable One-Equation Coupling of Finite and Boundary Elements
- Numerical Approximation Methods for Elliptic Boundary Value Problems
- Optimal multilevel methods for H(grad), H(curl), and H(div) systems on graded and unstructured grids
- Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method
- On the Coupling of Boundary Integral and Finite Element Methods
- Data Oscillation and Convergence of Adaptive FEM
- Finite elements on degenerate meshes: inverse-type inequalities and applications
- Optimal grading of the newest vertex bisection andH1-stability of theL2-projection
- An Adaptive Uzawa FEM for the Stokes Problem: Convergence without the Inf-Sup Condition
- A Posteriori Error Estimates for Boundary Element Methods
- Adaptive coupling of boundary elements and finite elements
- A Convergent Adaptive Algorithm for Poisson’s Equation
- Optimal preconditioning for the symmetric and nonsymmetric coupling of adaptive finite elements and boundary elements
- Local inverse estimates for non-local boundary integral operators
- The completion of locally refined simplicial partitions created by bisection
- Adaptive FEM with Optimal Convergence Rates for a Certain Class of Nonsymmetric and Possibly Nonlinear Problems
- An a posteriori error estimate for a first-kind integral equation
- A posteriori error estimate and h-adaptive algorithm on surfaces from Symm's integral equation
This page was built for publication: A linear Uzawa-type FEM-BEM solver for nonlinear transmission problems
