The paper presents a linear high-order method for advection-di®usion conser- vation laws on three dimensional mixed-element unstructured meshes. The key ingredient of the method is a reconstruction procedure in local compu- tational coordinates. Numerical results illustrate the convergence rates for the linear equation and a non-linear hyperbolic system with di®usion terms for various types of meshes
International audienceWe devise mixed methods for heterogeneous anisotropic diffusion problems suppo...
A fourth-order accurate diffusive flux calculation scheme has been developed which can be incorpora...
Access restricted to the OSU CommunityThis dissertation presents an extension of the Conservation El...
In this work we develop a new class of high order accurate Arbitrary-Lagrangian-Eulerian (ALE) one-s...
International audienceIn this paper, we investigate the coupling of the Multi-dimensional Optimal Or...
In this work we develop a new class of high order accurate Arbitrary-Lagrangian–Eulerian (ALE) one-s...
A new implicit and compact optimization-based method is presented for high order derivative calculat...
International audienceThis paper presents two novel contributions on the recently introduced Mixed H...
This paper provides a review about a family of non oscillatory and parameter free finite element typ...
In this paper we present a new family of high order accurate Arbitrary-Lagrangian-Eulerian (ALE) one...
The paper extends weighted essentially non-oscillatory (WENO) methods to three dimensional mixed-ele...
This paper deals with the construction of a class of high-order accurate residual distribution schem...
Understanding the motion of fluids is crucial for the development and analysis of new designs and p...
In this paper, we construct high-order hyperbolic residual-distribution schemes for general advectio...
We present a new finite volume scheme based on the Polynomial Reconstruction Operator (PRO-scheme) f...
International audienceWe devise mixed methods for heterogeneous anisotropic diffusion problems suppo...
A fourth-order accurate diffusive flux calculation scheme has been developed which can be incorpora...
Access restricted to the OSU CommunityThis dissertation presents an extension of the Conservation El...
In this work we develop a new class of high order accurate Arbitrary-Lagrangian-Eulerian (ALE) one-s...
International audienceIn this paper, we investigate the coupling of the Multi-dimensional Optimal Or...
In this work we develop a new class of high order accurate Arbitrary-Lagrangian–Eulerian (ALE) one-s...
A new implicit and compact optimization-based method is presented for high order derivative calculat...
International audienceThis paper presents two novel contributions on the recently introduced Mixed H...
This paper provides a review about a family of non oscillatory and parameter free finite element typ...
In this paper we present a new family of high order accurate Arbitrary-Lagrangian-Eulerian (ALE) one...
The paper extends weighted essentially non-oscillatory (WENO) methods to three dimensional mixed-ele...
This paper deals with the construction of a class of high-order accurate residual distribution schem...
Understanding the motion of fluids is crucial for the development and analysis of new designs and p...
In this paper, we construct high-order hyperbolic residual-distribution schemes for general advectio...
We present a new finite volume scheme based on the Polynomial Reconstruction Operator (PRO-scheme) f...
International audienceWe devise mixed methods for heterogeneous anisotropic diffusion problems suppo...
A fourth-order accurate diffusive flux calculation scheme has been developed which can be incorpora...
Access restricted to the OSU CommunityThis dissertation presents an extension of the Conservation El...