396 citations · 862 across the 13 of their papers we have counts for
7 papers · 1 filter
Estimating and using information in inverse problems
Wolfgang Bangerth, Chris R. Johnson, Dennis K. Njeru +1
In inverse problems, one attempts to infer spatially variable functions from indirect measurements of a system. To practitioners of inverse problems, the concept of "information" i…
Algorithms for Parallel Generic -adaptive Finite Element Software
Marc Fehling, Wolfgang Bangerth
The -adaptive finite element method (FEM) - where one independently chooses the mesh size () and polynomial degree () to be used on each cell - has long been known to hav…
A benchmark for the Bayesian inversion of coefficients in partial differential equations
David Aristoff, Wolfgang Bangerth
Bayesian methods have been widely used in the last two decades to infer statistical properties of spatially variable coefficients in partial differential equations from measurement…
Propagating geometry information to finite element computations
Luca Heltai, Wolfgang Bangerth, Martin Kronbichler +1
The traditional workflow in continuum mechanics simulations is that a geometry description -- for example obtained using Constructive Solid Geometry or Computer Aided Design tools…
Residual-Based a posteriori error estimation for hp-adaptive finite element methods for the Stokes equations
Arezou Ghesmati, Wolfgang Bangerth, Bruno Turcksin
We derive a residual-based a posteriori error estimator for the conforming hp-Adaptive Finite Element Method (hp-AFEM) for the steady state Stokes problem describing the slow motio…
Flexible and scalable particle-in-cell methods for massively parallel computations
R. Gassmoeller, E. Heien, E. G. Puckett +1
Particle-in-cell methods couple mesh-based methods for the solution of continuum mechanics problems, with the ability to advect and evolve particles. They have a long history and m…
On orienting edges of unstructured two- and three-dimensional meshes
Rainer Agelek, Michael Anderson, Wolfgang Bangerth +1
Finite element codes typically use data structures that represent unstructured meshes as collections of cells, faces, and edges, each of which require associated coordinate systems…