Triangle based adaptive stencils for the solution of hyperbolic conservation laws

A high-order-accurate unstructured mesh finite-volume scheme for the advection-diffusion equation

Journal of Computational Physics

Fully adaptive multiresolution finite volume schemes for conservation laws

Mathematics of Computation

Shock capturing, level sets, and PDE based methods in computer vision and image processing: a review of Osher's contributions

Journal of Computational Physics

Mixed-finite element and finite volume discretization for heavy brine simulations in groundwater

Journal of Computational and Applied Mathematics

High order Godunov mixed methods on tetrahedral meshes for density driven flow simulations in porous media

Journal of Computational Physics

Robustness of MUSCL schemes for 2D unstructured meshes

Journal of Computational Physics

The analytical solution of two interesting hyperbolic problems as a test case for a finite volume method with a new grid refinement technique

Journal of Computational and Applied Mathematics

New non-oscillatory central schemes on unstructured triangulations for hyperbolic systems of conservation laws

Journal of Computational Physics

Monoslope and multislope MUSCL methods for unstructured meshes

Journal of Computational Physics

L∞-stability of vertex-based MUSCL finite volume schemes on unstructured grids: Simulation of incompressible flows with high density ratios

Journal of Computational Physics

Adaptive hierarchic transformations for dynamically p-enriched slope-limiting over discontinuous Galerkin systems of generalized equations

Journal of Computational Physics

Bad behavior of Godunov mixed methods for strongly anisotropic advection-dispersion equations

Journal of Computational Physics