DOI10.1137/040604728zbMath1095.65086OpenAlexW1976953953MaRDI QIDQ5470358
N. Anders Petersson, Heinz-Otto Kreiss
Publication date: 30 May 2006
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://digital.library.unt.edu/ark:/67531/metadc892242/
A high order boundary scheme to simulate complex moving rigid body under impingement of shock wave,
Algorithms for interface treatment and load computation in embedded boundary methods for fluid and fluid-structure interaction problems,
A linearised inverse conductivity problem for the Maxwell system at a high frequency,
One-sided GRP solver and numerical boundary conditions for compressible fluid flows,
High-fidelity numerical simulation of solitons in the nerve axon,
High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments,
Inverse Lax-Wendroff procedure for numerical boundary conditions of convection-diffusion equations,
Local Compatibility Boundary Conditions for High-Order Accurate Finite-Difference Approximations of PDEs,
A second-order time-accurate implicit finite volume method with exact two-phase Riemann problems for compressible multi-phase fluid and fluid-structure problems,
Fast multiscale Gaussian beam methods for wave equations in bounded convex domains,
An ALE formulation of embedded boundary methods for tracking boundary layers in turbulent fluid-structure interaction problems,
A low numerical dissipation immersed interface method for the compressible Navier-Stokes equations,
The treatment of the Neumann boundary conditions for a new numerical approach to the solution of PDEs with optimal accuracy on irregular domains and Cartesian meshes,
A high-order accurate embedded boundary method for first order hyperbolic equations,
A Cartesian embedded boundary method for the compressible Navier-Stokes equations,
Stable boundary treatment for the wave equation on second-order form,
Immersed stress method for fluid-structure interaction using anisotropic mesh adaptation,
Universal AMG accelerated embedded boundary method without small cell stiffness,
Optimal local truncation error method to solution of 2‐D time‐independent elasticity problems with optimal accuracy on irregular domains and unfitted Cartesian meshes,
Inverse Lax-Wendroff Boundary Treatment: a Survey,
A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids,
Efficient implementation of high order inverse Lax-Wendroff boundary treatment for conservation laws,
High-order accurate FDTD schemes for dispersive Maxwell's equations in second-order form using recursive convolutions,
Inverse Lax-Wendroff procedure for numerical boundary conditions of conservation laws,
Unconstrained vector nonlinear dynamic shell formulation applied to fluid structure interaction,
Acoustic wave propagation in complicated geometries and heterogeneous media,
Stability analysis of inverse Lax-Wendroff boundary treatment of high order compact difference schemes for parabolic equations,
Optimal local truncation error method for solution of wave and heat equations for heterogeneous materials with irregular interfaces and unfitted Cartesian meshes,
Stable and accurate wave-propagation in discontinuous media,
A new 3-d numerical approach to the solution of PDEs with optimal accuracy on irregular domains and Cartesian meshes,
High Order Finite Difference Scheme based on DG Boundary Treatment (FDbDG),
Stability analysis of the inverse Lax-Wendroff boundary treatment for high order central difference schemes for diffusion equations,
Perfectly matched layers for Maxwell's equations in second order formulation,
A fictitious domain method for acoustic wave propagation problems,
Cartesian grid method for the compressible Euler equations using simplified ghost point treatments at embedded boundaries,
High-order unconditionally stable FC-AD solvers for general smooth domains. I: Basic elements,
A high-order numerical approach with Cartesian meshes for modeling of wave propagation and heat transfer on irregular domains with inhomogeneous materials,
A two-stage fourth order time-accurate discretization for Lax-Wendroff type flow solvers. II: High order numerical boundary conditions,
An upwinding boundary condition capturing method for Maxwell's equations in media with material interfaces,
A new numerical approach to the solution of the 2-D Helmholtz equation with optimal accuracy on irregular domains and Cartesian meshes,
A third-order weighted nonlinear scheme for hyperbolic conservation laws with inverse Lax-Wendroff boundary treatment,
A high order moving boundary treatment for convection-diffusion equations