396 citations · 862 across the 13 of their papers we have counts for
14 papers
Experience converting a large mathematical software package written in C++ to C++20 modules
Wolfgang Bangerth
Mathematical software has traditionally been built in the form of "packages" that build on each other. A substantial fraction of these packages is written in C++ and, as a conseque…
I'm stuck! How to efficiently debug computational solid mechanics models so you can enjoy the beauty of simulations
Ester Comellas, Jean-Paul Pelteret, Wolfgang Bangerth
A substantial fraction of the time that computational modellers dedicate to developing their models is actually spent trouble-shooting and debugging their code. However, how this p…
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…
The deal.II finite element library: design, features, and insights
Daniel Arndt, Wolfgang Bangerth, Denis Davydov +7
deal.II is a state-of-the-art finite element library focused on generality, dimension-independent programming, parallelism, and extensibility. Herein, we outline its primary design…
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…
Report on the Fourth Workshop on Sustainable Software for Science: Practice and Experiences (WSSSPE4)
Daniel S. Katz, Kyle E. Niemeyer, Sandra Gesing +13
This report records and discusses the Fourth Workshop on Sustainable Software for Science: Practice and Experiences (WSSSPE4). The report includes a description of the keynote pres…
High Accuracy Mantle Convection Simulation through Modern Numerical Methods. II: Realistic Models and Problems
Timo Heister, Juliane Dannberg, Rene Gassmöller +1
Computations have helped elucidate the dynamics of Earth's mantle for several decades already. The numerical methods that underlie these simulations have greatly evolved within thi…
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…
Clone and graft: Testing scientific applications as they are built
Bruno Turcksin, Timo Heister, Wolfgang Bangerth
This article describes our experience developing and maintaining automated tests for scientific applications. The main idea evolves around building on already existing tests by clo…
Reconstructions in Ultrasound Modulated Optical Tomography
Moritz Allmaras, Wolfgang Bangerth
We introduce a mathematical model for ultrasound modulated optical tomography and present a simple reconstruction scheme for recovering the spatially varying optical absorption coe…