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- Sandia National LaboratoriesUS256 papers
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47 papers · 1 filter
A Note on the Reliability of Goal-Oriented Error Estimates for Galerkin Finite Element Methods with Nonlinear Functionals
Brian N. Granzow, Stephen D. Bond, D. Thomas Seidl +1
We consider estimating the discretization error in a nonlinear functional in the setting of an abstract variational problem: find such that $B(u,φ) = L(φ…
Multi-fidelity uncertainty quantification for homogenization problems in structure-property relationships from crystal plasticity finite elements
Anh Tran, Pieterjan Robbe, Theron Rodgers +1
Crystal plasticity finite element method (CPFEM) has been an integrated computational materials engineering (ICME) workhorse to study materials behaviors and structure-property rel…
Unified -HDG Frameworks for Friedrichs' PDE systems
Jau-Uei Chen, Shinhoo Kang, Tan Bui-Thanh +1
This work proposes a unified -adaptivity framework for hybridized discontinuous Galerkin (HDG) method for a large class of partial differential equations (PDEs) of Friedrichs'…
Low-order preconditioning for the high-order finite element de Rham complex
Will Pazner, Tzanio Kolev, Clark Dohrmann
In this paper we present a unified framework for constructing spectrally equivalent low-order-refined discretizations for the high-order finite element de Rham complex. This theory…
Efficient optimization-based quadrature for variational discretization of nonlocal problems
Marco Pasetto, Zhaoxiang Shen, Marta D'Elia +3
Casting nonlocal problems in variational form and discretizing them with the finite element (FE) method facilitates the use of nonlocal vector calculus to prove well-posedeness, co…
A positivity preserving strategy for entropy stable discontinuous Galerkin discretizations of the compressible Euler and Navier-Stokes equations
Yimin Lin, Jesse Chan, Ignacio Tomas
High-order entropy-stable discontinuous Galerkin methods for the compressible Euler and Navier-Stokes equations require the positivity of thermodynamic quantities in order to guara…