Further developments on boundary-field equation methods for nonlinear transmission problems
DOI10.1016/j.jmaa.2021.125262zbMath1476.65322OpenAlexW3158200647MaRDI QIDQ2033128
George C. Hsiao, Salim Meddahi, Gabriel N. Gatica
Publication date: 14 June 2021
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125262
finite elementmonotone operatorsnonlinear elliptic equationscouplingboundary elementnonlinear Babuška-Brezzi theory
Nonlinear elliptic equations (35J60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) A priori estimates in context of PDEs (35B45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Boundary element methods for boundary value problems involving PDEs (65N38) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Cites Work
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- Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity
- Relaxing the hypotheses of Bielak-MacCamy's BEM-FEM coupling
- The coupling of boundary element and finite element methods for a nonlinear exterior boundary value problem
- On the coupling of boundary integral and finite element methods
- Symmetric coupling of boundary elements and Raviart-Thomas-type mixed finite elements in elastostatics
- On the coupled BEM and FEM for a nonlinear exterior Dirichlet problem in \(\mathbb{R}^ 2\)
- The uncoupling of boundary integral and finite element methods for nonlinear boundary value problems
- Theory and practice of finite elements.
- On the coupling of boundary integral and mixed finite element methods
- Coupling of virtual element and boundary element methods for the solution of acoustic scattering problems
- On the dual-mixed formulation for an exterior Stokes problem
- A Simple Introduction to the Mixed Finite Element Method
- Basic principles of mixed Virtual Element Methods
- The Validity of Johnson–Nédélec's BEM–FEM Coupling on Polygonal Interfaces
- Nonsymmetric coupling of BEM and mixed FEM on polyhedral interfaces
- A Note on the Stable One-Equation Coupling of Finite and Boundary Elements
- New developments on the coupling of mixed-FEM and BEM for the three-dimensional Stokes problem
- On the Coupling of Boundary Integral and Finite Element Methods
- Mixed and Hybrid Finite Element Methods
- The coupling of boundary integral and finite element methods for nonmonotone nonlinear problems∗
- Existence et approximation de points selles pour certains problèmes non linéaires
- A mixed–FEM and BEM coupling for a three-dimensional eddy current problem
- Coupling of mixed finite elements and boundary elements
- A Dual-Dual Formulation for the Coupling of Mixed-FEM and BEM in Hyperelasticity
- On the numerical analysis of nonlinear twofold saddle point problems
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- The Validity of Johnson--Nédélec's BEM--FEM Coupling on Polygonal Interfaces
- Mixed Finite Element Methods and Applications
- A conforming mixed finite element method for the Navier–Stokes/Darcy–Forchheimer coupled problem
- Coupling of Finite and Boundary Element Methods for an Elastoplastic Interface Problem
- On the Coupling of VEM and BEM in Two and Three Dimensions
- A posteriori error analysis of twofold saddle point variational formulations for nonlinear boundary value problems
- Coupling of mixed finite elements and boundary elements for linear and nonlinear elliptic problems
- Analysis of a new BEM‐FEM coupling for two‐dimensional fluid‐solid interaction
- Boundary Integral Equations
- Boundary Element Methods