26 citations · 55 across the 6 of their papers we have counts for
6 papers
Mixed-Order Meshes through rp-adaptivity for Surface Fitting to Implicit Geometries
Ketan Mittal, Veselin A. Dobrev, Patrick Knupp +4
Computational analysis with the finite element method requires geometrically accurate meshes. It is well known that high-order meshes can accurately capture curved surfaces with fe…
Accelerating High-Order Mesh Optimization Using Finite Element Partial Assembly on GPUs
Jean-Sylvain Camier, Veselin Dobrev, Patrick Knupp +4
In this paper we present a new GPU-oriented mesh optimization method based on high-order finite elements. Our approach relies on node movement with fixed topology, through the Targ…
Adaptive Surface Fitting and Tangential Relaxation for High-Order Mesh Optimization
Patrick Knupp, Tzanio Kolev, Ketan Mittal +1
We propose a new approach for controlling the characteristics of certain mesh faces during optimization of high-order curved meshes. The practical goals are tangential relaxation a…
hr-adaptivity for nonconforming high-order meshes with the target matrix optimization paradigm
Veselin Dobrev, Patrick Knupp, Tzanio Kolev +2
We present an -adaptivity framework for optimization of high-order meshes. This work extends the -adaptivity method for mesh optimization by Dobrev et al., where we utilized…
Simulation-Driven Optimization of High-Order Meshes in ALE Hydrodynamics
Veselin Dobrev, Patrick Knupp, Tzanio Kolev +3
In this paper we propose tools for high-order mesh optimization and demonstrate their benefits in the context of multi-material Arbitrary Lagrangian-Eulerian (ALE) compressible sho…
The Target-Matrix Optimization Paradigm for High-Order Meshes
Veselin Dobrev, Patrick Knupp, Tzanio Kolev +2
We describe a framework for controlling and improving the quality of high-order finite element meshes based on extensions of the Target-Matrix Optimization Paradigm (TMOP) of Knupp…