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The Explicit-Jump Immersed Interface Method: Finite Difference Methods for PDEs with Piecewise Smooth Solutions

• Andreas Wiegmann, Kenneth P. Bube
• SIAM J. Numerical Analysis
• 2000

Many boundary value problems (BVPs) or initial BVPs have non-smooth solutions, with jumps along lower-dimensional interfaces. The Explicit–Jump Immersed Interface Method (EJIIM) was developed… (More)

Digital rock physics benchmarks - part II: Computing effective properties

• Heiko Andrä, Nicolas Combaret, +15 authors Xin Zhan
• Computers & Geosciences
• 2013

This is the second and final part of our digital rock physics (DRP) benchmarking study. We use segmented 3-D images (one for Fontainebleau, three for Berea, three for a carbonate, and one for a… (More)

Digital rock physics benchmarks - Part I: Imaging and segmentation

• Heiko Andrä, Nicolas Combaret, +15 authors Xin Zhan
• Computers & Geosciences
• 2013

EJ-HEAT: A Fast Explicit Jump Harmonic Aver- aging Solver for the Effective Heat Conductivity of Composite Materials

• Andreas Wiegmann, A. Zemitis
• 2006

The stationary heat equation is solved with periodic boundary conditions in geometrically complex composite materials with high contrast in the thermal conductivities of the individual phases. This… (More)

THE EXPLICIT JUMP IMMERSED INTERFACE METHOD: FINITE DIFFERENCE METHODS FOR PDE WITH PIECEWISE SMOOTH SOLUTIONS WE DEDICATE THIS WORK TO HELMUT ROHRL ON THE OCCASION OF HIS 70TH BIRTHDAY

• Andreas Wiegmann, KENNETH P. BUBEAbstract
• 1997

Many boundary value problems (BVPs) or initial BVPs have non-smooth solutions, with jumps along lower-dimensional interfaces. The Explicit{Jump Immersed Interface Method (EJIIM) was developed… (More)

Computation of the permeability of porous materials from their microstructure by FFF-Stokes

• Andreas Wiegmann, Andreas Wiegmann
• 2007

A fully automatic procedure is proposed to rapidly compute the permeability of porous materials from their binarized microstructure. The discretization is a simplified version of Peskin’s Immersed… (More)

Explicit jump immersed interface method for virtual material design of the effective elastic moduli of composite materials

• Vita Rutka, Andreas Wiegmann
• Numerical Algorithms
• 2006

Virtual material design is the microscopic variation of materials in the computer, followed by the numerical evaluation of the effect of this variation on the material’s macroscopic properties. The… (More)

Fast Poisson, Fast Helmholtz and fast linear elastostatic solvers on rectangular parallelepipeds

• Andreas Wiegmann
• 2010

EJIIM for Calculation of effective Elastic Moduli in 3D Linear Elasticity

• Vita Rutka, Andreas Wiegmann, Heiko Andrä
• 2006

The Explicit Jump Immersed Interface Method solves boundary value problems by embedding arbitrary domains in rectangular parallelepipeds and extending the boundary value problem to such a domain. Now… (More)

The LIR Space Partitioning System Applied to Cartesian Grids

• Sven Linden, Hans Hagen, Andreas Wiegmann
• MMCS
• 2012

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