DOI10.1137/090770849zbMath1227.65100OpenAlexW2004302354MaRDI QIDQ3091810
Christophe Le Potier, Jérôme Droniou
Publication date: 14 September 2011
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/090770849
A nonlinear correction scheme for the heterogeneous and anisotropic diffusion problems on polygonal meshes,
Bound/positivity preserving and unconditionally stable schemes for a class of fourth order nonlinear equations,
An admissibility and asymptotic-preserving scheme for systems of conservation laws with source term on 2D unstructured meshes,
A new nonlinear finite volume scheme preserving positivity for diffusion equations,
Discrete maximum principle for the \(P_{1}\)-\(P_{0}\) weak Galerkin finite element approximations,
A linearity-preserving technique for finite volume schemes of anisotropic diffusion problems on polygonal meshes,
Modeling and simulation of mixture flows: application to powder-snow avalanches,
Convex combinations for diffusion schemes,
A numerical framework for diffusion-controlled bimolecular-reactive systems to enforce maximum principles and the non-negative constraint,
A reconstruction algorithm with flexible stencils for anisotropic diffusion equations on 2D skewed meshes,
A cell-centered nonlinear finite volume scheme preserving fully positivity for diffusion equation,
A New Lagrange Multiplier Approach for Constructing Structure Preserving Schemes, II. Bound Preserving,
Nonlinear finite volume method for the interface advection-compression problem on unstructured adaptive meshes,
Non-linear multi-point flux approximation in the near-well region,
Monotone corrections for generic cell-centered finite volume approximations of anisotropic diffusion equations,
The finite volume scheme preserving maximum principle for diffusion equations with discontinuous coefficient,
Piecewise Linear Transformation in Diffusive Flux Discretizations,
A cost-effective nonlinear extremum-preserving finite volume scheme for highly anisotropic diffusion on Cartesian grids, with application to radiation belt dynamics,
An exact-interface-fitted mesh generator and linearity-preserving finite volume scheme for anisotropic elliptic interface problems,
A hybrid finite volume -- finite element method for bulk-surface coupled problems,
Convergence of nonlinear finite volume schemes for heterogeneous anisotropic diffusion on general meshes,
A nonlinear scheme preserving maximum principle for heterogeneous anisotropic diffusion equation,
Monotonic Diamond and DDFV Type Finite-Volume Schemes for 2D Elliptic Problems,
Unnamed Item,
A monotone nonlinear finite volume method for approximating diffusion operators on general meshes,
A positive scheme for diffusion problems on deformed meshes,
A robust, interpolation‐free and monotone finite volume scheme for diffusion equations on arbitrary quadrilateral meshes,
A discrete maximum principle for the weak Galerkin finite element method on nonuniform rectangular partitions,
Geometric Quasilinearization Framework for Analysis and Design of Bound-Preserving Schemes,
A nonlinear convex combination in the construction of finite volume scheme satisfying maximum principle,
A positivity-preserving finite volume scheme for multi-group neutron diffusion kinetics equations with delayed neutrons,
A Maximum-Principle-Preserving Finite Volume Scheme for Diffusion Problems on Distorted Meshes,
Cell-centered nonlinear finite-volume methods for the heterogeneous anisotropic diffusion problem,
Numerical analysis of a robust free energy diminishing finite volume scheme for parabolic equations with gradient structure,
A positivity-preserving pyramid scheme for anisotropic diffusion problems on general hexahedral meshes with nonplanar cell faces,
Arbitrary-order monotonic finite-volume schemes for 1D elliptic problems,
An Interpolation-Free Cell-Centered Finite Volume Scheme for 3D Anisotropic Convection-Diffusion Equations on Arbitrary Polyhedral Meshes,
A new positive finite volume scheme for two‐dimensional convection‐diffusion equation,
Existence of solution of a finite volume scheme preserving maximum principle for diffusion equations,
A positivity-preserving numerical method for a thin liquid film on a vertical cylindrical fiber,
A nonlinear correction and local minimum principle for diffusion operators with finite differences,
Construction of Nonlinear Weighted Method for Finite Volume Schemes Preserving Maximum Principle,
Error estimate of the cell-centered nonlinear positivity-preserving two-point flux approximation schemes,
Design of asymptotic preserving finite volume schemes for the hyperbolic heat equation on unstructured meshes,
A Finite Volume Scheme Preserving Maximum Principle for the System of Radiation Diffusion Equations with Three-Temperature,
An improvement of the two-point flux approximation scheme on polygonal meshes,
A nonlinear second order in space correction and maximum principle for diffusion operators,
A nonlinear correction and maximum principle for diffusion operators with hybrid schemes,
A vertex-centered finite volume scheme preserving the discrete maximum principle for anisotropic and discontinuous diffusion equations,
Unnamed Item,
A finite volume scheme preserving maximum principle with cell-centered and vertex unknowns for diffusion equations on distorted meshes,
Analysis of the decoupled and positivity-preserving DDFV schemes for diffusion problems on polygonal meshes,
A Nonlinear Finite Volume Element Method Satisfying Maximum Principle for Anisotropic Diffusion Problems on Arbitrary Triangular Meshes,
A Nonlinear Finite Volume Scheme Preserving Maximum Principle for Diffusion Equations,
A decoupled and positivity-preserving discrete duality finite volume scheme for anisotropic diffusion problems on general polygonal meshes,
Finite volume schemes for diffusion equations: Introduction to and review of modern methods,
M-Adaptation in the mimetic finite difference method,
A nonlinear correction and maximum principle for diffusion operators discretized using cell-centered finite volume schemes,
Piecewise linear transformation in diffusive flux discretization,
Second-order accurate finite volume method for well-driven flows,
An admissibility and asymptotic preserving scheme for systems of conservation laws with source term on 2D unstructured meshes with high-order MOOD reconstruction,
Analysis of the nonlinear scheme preserving the maximum principle for the anisotropic diffusion equation on distorted meshes,
Extremum-Preserving Correction of the Nine-Point Scheme for Diffusion Equation on Distorted Meshes,
The Corrected Finite Volume Element Methods for Diffusion Equations Satisfying Discrete Extremum Principle