8 citations · 53 across the 25 of their papers we have counts for
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Extending FEniCS to Work in Higher Dimensions Using Tensor Product Finite Elements
Mark Loveland, Eirik Valseth, Matt Lukac +1
We present a method to extend the finite element library FEniCS to solve problems with domains in dimensions above three by constructing tensor product finite elements. This method…
A Stable Mixed FE Method for Nearly Incompressible Linear Elastostatics
Eirik Valseth, Albert Romkes, Austin R. Kaul +1
We present a new, stable, mixed finite element (FE) method for linear elastostatics of nearly incompressible solids. The method is the automatic variationally stable FE (AVS-FE) me…
An Adaptive Stable Space-Time FE Method for the Shallow Water Equations
Eirik Valseth, Clint Dawson
We consider the finite element (FE) approximation of the shallow water equations (SWE) by considering discretizations in which both space and time are established using an uncondit…
Automatic Variationally Stable Analysis for Finite Element Computations: Transient Convection-Diffusion Problems
Eirik Valseth, Pouria Behnoudfar, Clint Dawson +1
We establish stable finite element (FE) approximations of convection-diffusion initial boundary value problems using the automatic variationally stable finite element (AVS-FE) meth…
An Unconditionally Stable Space-Time FE Method for the Korteweg-de Vries Equation
Eirik Valseth, Clint Dawson
We introduce an unconditionally stable finite element (FE) method, the automatic variationally stable FE (AVS-FE) method for the numerical analysis of the Korteweg-de Vries (KdV) e…
A Stable FE Method For the Space-Time Solution of the Cahn-Hilliard Equation
Eirik Valseth, Albert Romkes, Austin R. Kaul
In its application to the modeling of a mineral separation process, we propose the numerical analysis of the Cahn-Hilliard equation by employing spacetime discretizations of the au…
Goal-Oriented Error Estimation for the Automatic Variationally Stable FE Method for Convection-Dominated Diffusion Problems
Eirik Valseth, Albert Romkes
We present goal-oriented a posteriori error estimates for the automatic variationally stable finite element (AVS FE) method for scalar-valued convection-diffusion problems. The AVS…
Automatic Variationally Stable Analysis for FE Computations: An Introduction
Victor M. Calo, Albert Romkes, Eirik Valseth
We introduce an automatic variationally stable analysis (AVS) for finite element (FE) computations of scalar-valued convection-diffusion equations with non-constant and highly osci…