Numerical approximation based on immersed finite element method for elliptic interface optimal control problem
From MaRDI portal
Publication:2700255
DOI10.1016/j.cnsns.2023.107195OpenAlexW4322102372MaRDI QIDQ2700255
Publication date: 20 April 2023
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2023.107195
PDE-constrained optimizationvariational discretizationimmersed finite element methodelliptic interface control
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A weak formulation for solving elliptic interface problems without body fitted grid
- A finite element method for interface problems in domains with smooth boundaries and interfaces
- Some new a priori estimates for second-order elliptic and parabolic interface problems
- A numerical method for solving variable coefficient elliptic equation with interfaces
- A bilinear partially penalized immersed finite element method for elliptic interface problems with multi-domain and triple-junction points
- Optimal a priori estimates for higher order finite elements for elliptic interface problems
- The immersed finite volume element methods for the elliptic interface problems
- Finite element methods and their convergence for elliptic and parabolic interface problems
- New Cartesian grid methods for interface problems using the finite element formulation
- A high-order source removal finite element method for a class of elliptic interface problems
- An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
- A Nitsche-extended finite element method for distributed optimal control problems of elliptic interface equations
- An augmented immersed finite element method for variable coefficient elliptic interface problems in two and three dimensions
- New immersed finite volume element method for elliptic interface problems with non-homogeneous jump conditions
- A mesh-free method using piecewise deep neural network for elliptic interface problems
- A stabilized immersed finite volume element method for elliptic interface problems
- An augmented matched interface and boundary (MIB) method for solving elliptic interface problem
- Immersed finite elements for optimal control problems of elliptic PDEs with interfaces
- The finite element method for elliptic equations with discontinuous coefficients
- Optimal Control of Quasilinear $\boldsymbol{H}(\mathbf{curl})$-Elliptic Partial Differential Equations in Magnetostatic Field Problems
- Finite Element Approximations for Stokes–Darcy Flow with Beavers–Joseph Interface Conditions
- Optimal Solvers for PDE-Constrained Optimization
- Discontinuous Galerkin Finite Element Methods for Interface Problems: A Priori and A Posteriori Error Estimations
- A discontinuous Galerkin method for elliptic interface problems with application to electroporation
- Three-dimensional immersed finite element methods for electric field simulation in composite materials
- Immersed-Interface Finite-Element Methods for Elliptic Interface Problems with Nonhomogeneous Jump Conditions
- Elliptic partial differential equation and optimal control
- Solution of Sparse Indefinite Systems of Linear Equations
- A diffusion equation with localized chemical reactions
- The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
- Coupling Fluid Flow with Porous Media Flow
- An immersed finite element space and its approximation capability
- An Unfitted Discontinuous Galerkin Method Applied to Elliptic Interface Problems
- A partially penalty immersed interface finite element method for anisotropic elliptic interface problems
- Nonconforming immersed finite element method for solving elliptic optimal control problems with interfaces
- A group of immersed finite-element spaces for elliptic interface problems
- PPIFE Method with Non-Homogeneous Flux Jump Conditions and Its Efficient Numerical Solver for Elliptic Optimal Control Problems with Interfaces
- Hybridized CutFEM for Elliptic Interface Problems
- Partially Penalized Immersed Finite Element Methods For Elliptic Interface Problems
- An unfitted finite-element method for elliptic and parabolic interface problems
- The Immersed Interface Method
