Michael J. Holst

Orcid: 0000-0002-3064-4697

Affiliations:
  • University of California, San Diego, USA


According to our database1, Michael J. Holst authored at least 35 papers between 1993 and 2022.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2022
Symmetry Breaking and the Generation of Spin Ordered Magnetic States in Density Functional Theory Due to Dirac Exchange for a Hydrogen Molecule.
J. Nonlinear Sci., 2022

2021
A Note On Determining Projections for Non-Homogeneous Incompressible Fluids.
CoRR, 2021

2020
3D mesh processing using GAMer 2 to enable reaction-diffusion simulations in realistic cellular geometries.
PLoS Comput. Biol., 2020

Local Finite Element Approximation of Sobolev Differential Forms.
CoRR, 2020

Local sensitivity analysis of the 'Membrane shape equation' derived from the Helfrich energy.
CoRR, 2020

2019
The Implementation of the Colored Abstract Simplicial Complex and Its Application to Mesh Generation.
ACM Trans. Math. Softw., 2019

2015
Convergence of goal-oriented adaptive finite element methods for semilinear problems.
Comput. Vis. Sci., 2015

2014
Multilevel preconditioners for discontinuous, Galerkin approximations of elliptic problems, with jump coefficients.
Math. Comput., 2014

2013
Adaptive Finite Element Methods with Inexact Solvers for the Nonlinear Poisson-Boltzmann Equation.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

Multigrid Preconditioner for Nonconforming Discretization of Elliptic Problems with Jump Coefficients.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

Feature-preserving surface mesh smoothing via suboptimal Delaunay triangulation.
Graph. Model., 2013

2012
Goal-Oriented Adaptivity and Multilevel Preconditioning for the Poisson-Boltzmann Equation.
J. Sci. Comput., 2012

Semilinear Mixed Problems on Hilbert Complexes and Their Numerical Approximation.
Found. Comput. Math., 2012

Geometric Variational Crimes: Hilbert Complexes, Finite Element Exterior Calculus, and Problems on Hypersurfaces.
Found. Comput. Math., 2012

Local multilevel preconditioners for elliptic equations with jump coefficients on bisection grids.
Comput. Vis. Sci., 2012

Quality tetrahedral mesh smoothing via boundary-optimized Delaunay triangulation.
Comput. Aided Geom. Des., 2012

2011
Multiscale Modeling of Calcium Dynamics in Ventricular Myocytes With Realistic Transverse Tubules.
IEEE Trans. Biomed. Eng., 2011

2010
Numerical Analysis of Ca<sup>2+</sup> Signaling in Rat Ventricular Myocytes with Realistic Transverse-Axial Tubular Geometry and Inhibited Sarcoplasmic Reticulum.
PLoS Comput. Biol., 2010

Analysis of a General Family of Regularized Navier-Stokes and MHD Models.
J. Nonlinear Sci., 2010

Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes I: Finite element solutions.
J. Comput. Phys., 2010

2009
Convergence and optimality of adaptive mixed finite element methods.
Math. Comput., 2009

Finite Element Analysis of Drug Electrostatic Diffusion: Inhibition Rate Studies in N1 Neuraminidase.
Proceedings of the Biocomputing 2009: Proceedings of the Pacific Symposium, 2009

2007
The Finite Element Approximation of the Nonlinear Poisson-Boltzmann Equation.
SIAM J. Numer. Anal., 2007

2006
Optimality of Multilevel Preconditioners for Local Mesh Refinement in Three Dimensions.
SIAM J. Numer. Anal., 2006

2005
Generalized Green's Functions and the Effective Domain of Influence.
SIAM J. Sci. Comput., 2005

2003
An Odyssey into Local Refinement and Multilevel Preconditioning III: Implementation and Numerical Experiments.
SIAM J. Sci. Comput., 2003

A New Paradigm for Parallel Adaptive Meshing Algorithms.
SIAM Rev., 2003

2001
ErratumAdaptive multilevel finite element solution of the Poisson-Boltzmann equation I. Algorithms and examples.
J. Comput. Chem., 2001

The adaptive multilevel finite element solution of the Poisson-Boltzmann equation on massively parallel computers.
IBM J. Res. Dev., 2001

Adaptive Numerical Treatment of Elliptic Systems on Manifolds.
Adv. Comput. Math., 2001

2000
Adaptive multilevel finite element solution of the Poisson-Boltzmann equation II. Refinement at solvent-accessible surfaces in biomolecular systems.
J. Comput. Chem., 2000

Adaptive multilevel finite element solution of the Poisson-Boltzmann equation I. Algorithms and examples.
J. Comput. Chem., 2000

1995
Numerical Solution of t he Nonlinear Poisson-Blotzmann Equation: Developing More Robust and Efficient Methods.
J. Comput. Chem., 1995

1993
Multilevel Methods for the Poisson-Boltzmann Equation
PhD thesis, 1993

Multigrid solution of the Poisson - Boltzmann equation.
J. Comput. Chem., 1993


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