Geometric parameters in the target matrix mesh optimization paradigm

Knupp, Patrick

doi:10.1016/j.padiff.2022.100390

Title: Geometric parameters in the target matrix mesh optimization paradigm

Journal Article · 01 June 2022 · Partial Differential Equations in Applied Mathematics

DOI: https://doi.org/10.1016/j.padiff.2022.100390 · OSTI ID:1877694

Not Available

View Journal Article

Cite

Export

Save

Sponsoring Organization:: USDOE

OSTI ID:: 1877694

Journal Information:: Partial Differential Equations in Applied Mathematics, Journal Name: Partial Differential Equations in Applied Mathematics Journal Issue: C Vol. 5; ISSN 2666-8181

Publisher:: ElsevierCopyright Statement

Country of Publication:: Country unknown/Code not available

Language:: English

References (17)

Qualitative measures for initial meshes Field, David A. International Journal for Numerical Methods in Engineering, Vol. 47, Issue 4 https://doi.org/10.1002/(SICI)1097-0207(20000210)47:4<887::AID-NME804>3.0.CO;2-H	journal	February 2000
Variational grid generation Steinberg, Stanly; Roache, Patrick J. Numerical Methods for Partial Differential Equations, Vol. 2, Issue 1 https://doi.org/10.1002/num.1690020107	journal	April 1986
Convexity conditions and existence theorems in nonlinear elasticity Ball, John M. Archive for Rational Mechanics and Analysis, Vol. 63, Issue 4 https://doi.org/10.1007/BF00279992	journal	December 1976
Introducing the target-matrix paradigm for mesh optimization via node-movement Knupp, Patrick Engineering with Computers, Vol. 28, Issue 4 https://doi.org/10.1007/s00366-011-0230-1	journal	September 2011
Adaptive zoning for singular problems in two dimensions Brackbill, J. U.; Saltzman, J. S. Journal of Computational Physics, Vol. 46, Issue 3 https://doi.org/10.1016/0021-9991(82)90020-1	journal	June 1982
Adaptive grid generation from harmonic maps on Riemannian manifolds Dvinsky, Arkady S. Journal of Computational Physics, Vol. 95, Issue 2 https://doi.org/10.1016/0021-9991(91)90285-S	journal	August 1991
Simultaneous untangling and smoothing of tetrahedral meshes Escobar, J. M.; Rodrı́guez, E.; Montenegro, R. Computer Methods in Applied Mechanics and Engineering, Vol. 192, Issue 25 https://doi.org/10.1016/S0045-7825(03)00299-8	journal	June 2003
Variational method for untangling and optimization of spatial meshes Garanzha, V. A.; Kudryavtseva, L. N.; Utyuzhnikov, S. V. Journal of Computational and Applied Mathematics, Vol. 269 https://doi.org/10.1016/j.cam.2014.03.006	journal	October 2014
A new functional for variational mesh generation and adaptation based on equidistribution and alignment conditions Kolasinski, Avary; Huang, Weizhang Computers & Mathematics with Applications, Vol. 75, Issue 6 https://doi.org/10.1016/j.camwa.2017.06.043	journal	March 2018
Simulation-driven optimization of high-order meshes in ALE hydrodynamics Dobrev, Veselin; Knupp, Patrick; Kolev, Tzanio Computers & Fluids, Vol. 208 https://doi.org/10.1016/j.compfluid.2020.104602	journal	August 2020
Metric tensors for anisotropic mesh generation Huang, Weizhang Journal of Computational Physics, Vol. 204, Issue 2 https://doi.org/10.1016/j.jcp.2004.10.024	journal	April 2005
What is invexity? Ben-Israel, A.; Mond, B. The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, Vol. 28, Issue 1 https://doi.org/10.1017/S0334270000005142	journal	July 1986
Polyconvex potentials, invertible deformations, and thermodynamically consistent formulation of the nonlinear elasticity equations Garanzha, V. A. Computational Mathematics and Mathematical Physics, Vol. 50, Issue 9 https://doi.org/10.1134/S0965542510090095	journal	September 2010
A Discrete Variational Grid Generation Method Castillo, José E. SIAM Journal on Scientific and Statistical Computing, Vol. 12, Issue 2 https://doi.org/10.1137/0912025	journal	March 1991
The Target-Matrix Optimization Paradigm for High-Order Meshes Dobrev, Veselin; Knupp, Patrick; Kolev, Tzanio SIAM Journal on Scientific Computing, Vol. 41, Issue 1 https://doi.org/10.1137/18M1167206	journal	January 2019
Algebraic Mesh Quality Metrics Knupp, Patrick M. SIAM Journal on Scientific Computing, Vol. 23, Issue 1 https://doi.org/10.1137/S1064827500371499	journal	January 2001
Domain Deformation Mapping: Application to Variational Mesh Generation de Almeida, Valmor F. SIAM Journal on Scientific Computing, Vol. 20, Issue 4 https://doi.org/10.1137/S1064827594274760	journal	January 1999

Similar Records

The Target-Matrix Optimization Paradigm for High-Order Meshes

Journal Article · 2019 · SIAM Journal on Scientific Computing (Online) · OSTI ID:1729749

Dobrev, Veselin; Knupp, Patrick; Kolev, Tzanio; +2 more

A target-matrix paradigm for mesh optimization.

Conference · 2005 · OSTI ID:967786

Knupp, Patrick Michael

Local 2D metrics for mesh optimization in the target-matrix paradigm.

Journal Article · 2006 · Proposed for publication in the SIAM Journal on Scientific Computing. · OSTI ID:897135

Knupp, Patrick Michael; Hetmaniuk, Ulrich

Title: Geometric parameters in the target matrix mesh optimization paradigm

Citation Formats

References (17)

Similar Records

Related Subjects