Zobrazeno 1 - 10
of 359
pro vyhledávání: '"ZINGG, DAVID W."'
We present novel fully-symmetric quadrature rules with positive weights and strictly interior nodes of degrees up to 84 on triangles and 40 on tetrahedra. Initial guesses for solving the nonlinear systems of equations needed to derive quadrature rule
Externí odkaz:
http://arxiv.org/abs/2409.02027
We present an approach to construct efficient sparse summation-by-parts (SBP) operators on triangles and tetrahedra with a tensor-product structure. The operators are constructed by splitting the simplices into quadrilateral or hexahedral subdomains,
Externí odkaz:
http://arxiv.org/abs/2408.10494
Autor:
Montoya, Tristan, Zingg, David W.
Publikováno v:
Journal of Computational Physics 516:113360, 2024
We present a new class of efficient and robust discontinuous spectral-element methods of arbitrary order for nonlinear hyperbolic systems of conservation laws on curved triangular and tetrahedral unstructured grids. Such discretizations employ a rece
Externí odkaz:
http://arxiv.org/abs/2312.07874
Autor:
Marchildon, André L., Zingg, David W.
Gaussian processes provide probabilistic surrogates for various applications including classification, uncertainty quantification, and optimization. Using a gradient-enhanced covariance matrix can be beneficial since it provides a more accurate surro
Externí odkaz:
http://arxiv.org/abs/2307.05855
Autor:
Montoya, Tristan, Zingg, David W.
Publikováno v:
SIAM Journal on Scientific Computing 46(4):A2270-A2297, 2024
We present an extension of the summation-by-parts (SBP) framework to tensor-product spectral-element operators in collapsed coordinates. The proposed approach enables the construction of provably stable discretizations of arbitrary order which combin
Externí odkaz:
http://arxiv.org/abs/2306.05975
Autor:
Worku, Zelalem Arega, Zingg, David W.
High-order Hadamard-form entropy stable multidimensional summation-by-parts discretizations of the Euler and compressible Navier-Stokes equations are considerably more expensive than the standard divergence-form discretization. In search of a more ef
Externí odkaz:
http://arxiv.org/abs/2305.07181
Autor:
Montoya, Tristan, Zingg, David W.
Publikováno v:
In Journal of Computational Physics 1 November 2024 516
Autor:
Worku, Zelalem Arega, Zingg, David W.
Publikováno v:
In Journal of Computational Physics 1 April 2024 502
Autor:
Worku, Zelalem Arega, Zingg, David W.
Publikováno v:
Journal of Scientific Computing, 90:42 (2022)
We analyze the stability and functional superconvergence of discretizations of diffusion problems with the narrow-stencil second-derivative generalized summation-by-parts (SBP) operators coupled with simultaneous approximation terms (SATs). Provided
Externí odkaz:
http://arxiv.org/abs/2102.04868
Autor:
Montoya, Tristan, Zingg, David W.
Publikováno v:
Journal of Scientific Computing 92(3):87, 2022
We propose a unifying framework for the matrix-based formulation and analysis of discontinuous Galerkin (DG) and flux reconstruction (FR) methods for conservation laws on general unstructured grids. Within such an algebraic framework, the multidimens
Externí odkaz:
http://arxiv.org/abs/2101.10478