The immersed interface method for Helmholtz equations with degenerate diffusion
From MaRDI portal
Publication:2666239
DOI10.1016/j.matcom.2021.05.021OpenAlexW3165783819MaRDI QIDQ2666239
Francisco Medina Dorantes, Miguel Uh Zapata, Reymundo Itzá Balam
Publication date: 22 November 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2021.05.021
Helmholtz equationimmersed interface methodtwo-dimensionalsecond-order of accuracydegenerated diffusionstraight interfaces
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dirichlet problem for divergence form elliptic equations with discontinuous coefficients
- An error estimate for the finite difference approximation to degenerate convection-diffusion equations
- Immersed interface method for elliptic equations based on a piecewise second order polynomial
- A high-order immersed boundary method for acoustic wave scattering and low-Mach number flow-induced sound in complex geometries
- Existence theory for quasilinear elliptic equations via a regularization approach
- A numerical method for solving variable coefficient elliptic equation with interfaces
- The embedded finite difference method for the Poisson equation in a domain with an irregular boundary and Dirichlet boundary conditions
- On the accuracy of finite difference methods for elliptic problems with interfaces.
- Compact finite difference schemes of sixth order for the Helmholtz equation
- An interpolation matched interface and boundary method for elliptic interface problems
- A domain decomposition method for the Helmholtz equation and related optimal control problems
- A projection method-based model with the exact C-property for shallow-water flows over dry and irregular bottom using unstructured finite-volume technique
- Development of a high-order level set method: compact conservative level set (CCLS)
- A new weak Galerkin finite element method for elliptic interface problems
- Fast immersed interface Poisson solver for 3D unbounded problems around arbitrary geometries
- On error bounds for approximation schemes for non-convex degenerate elliptic equations
- Wave interpolation finite elements for Helmholtz problems with jumps in the wave speed
- Elliptic problems with discontinuities.
- A boundary condition capturing method for Poisson's equation on irregular domains
- MIB Galerkin method for elliptic interface problems
- Eigensolutions of multiply connected membranes using the method of fundamental solutions
- Compact high order accurate schemes for the three dimensional wave equation
- A second-order boundary condition capturing method for solving the elliptic interface problems on irregular domains
- A comparison of numerical models for one-dimensional Stefan problems
- Maximum Principle Preserving Schemes for Interface Problems with Discontinuous Coefficients
- A Linear Degenerate Elliptic Equation Arising from Two-Phase Mixtures
- Entropy Stable Schemes for Degenerate Convection-Diffusion Equations
- A-priori analysis and the finite element method for a class of degenerate elliptic equations
- Simplified immersed interface methods for elliptic interface problems with straight interfaces
- The immersed boundary method
- The method of fundamental solutions for eigenproblems in domains with and without interior holes
- Entropy boundary and jump conditions in the theory of sedimentation with compression
- The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
- Convergence of the ghost fluid method for elliptic equations with interfaces
- New Formulations for Interface Problems in Polar Coordinates
- Time Compact Difference Methods for Wave Propagation in Discontinuous Media
- The Explicit-Jump Immersed Interface Method: Finite Difference Methods for PDEs with Piecewise Smooth Solutions
- Dirichlet Problem for Degenerate Elliptic Equations
- The Immersed Interface Method for Simulating Two-Fluid Flows
- Nitsche's method for Helmholtz problems with embedded interfaces
- Accurate Solution and Gradient Computation for Elliptic Interface Problems with Variable Coefficients
- Convergent Difference Schemes for Degenerate Elliptic and Parabolic Equations: Hamilton--Jacobi Equations and Free Boundary Problems
- The Immersed Interface Method
- Convergence of the finite element method for an elliptic equation with strong degeneration
- Numerical Solution of the Navier-Stokes Equations
- Fourth-Order Finite Difference Analogues of the Dirichlet Problem for Poisson's Equation in Three and Four Dimensions
- Operator splitting methods for degenerate convection-diffusion equations. II: Numerical examples with emphasis on reservoir simulation and sedimentation