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ORCIDMichael J. Holst
Person information
- affiliation: University of California, San Diego, USA
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Books and Theses
- 1993
[b1]Michael J. Holst:
Multilevel Methods for the Poisson-Boltzmann Equation. University of Illinois Urbana-Champaign, USA, 1993
Journal Articles
- 2022
- [j29]Michael J. Holst, Houdong Hu, Jianfeng Lu
, Jeremy Louis Marzuola, Duo Song, Jonathan Weare:
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. 32(6): 89 (2022) - 2020
- [j28]Christopher T. Lee, Justin G. Laughlin, Nils Angliviel de La Beaumelle, Rommie E. Amaro, James Andrew McCammon, Ravi Ramamoorthi, Michael J. Holst, Padmini Rangamani:
3D mesh processing using GAMer 2 to enable reaction-diffusion simulations in realistic cellular geometries. PLoS Comput. Biol. 16(4) (2020) - 2019
- [j27]Christopher T. Lee, John B. Moody, Rommie E. Amaro, James Andrew McCammon, Michael J. Holst:
The Implementation of the Colored Abstract Simplicial Complex and Its Application to Mesh Generation. ACM Trans. Math. Softw. 45(3): 28:1-28:20 (2019) - 2015
- [j26]Michael J. Holst, Sara N. Pollock, Yunrong Zhu:
Convergence of goal-oriented adaptive finite element methods for semilinear problems. Comput. Vis. Sci. 17(1): 43-63 (2015) - 2014
- [j25]Blanca Ayuso de Dios, Michael J. Holst, Yunrong Zhu, Ludmil T. Zikatanov:
Multilevel preconditioners for discontinuous, Galerkin approximations of elliptic problems, with jump coefficients. Math. Comput. 83(287): 1083-1120 (2014) - 2013
- [j24]Zhanheng Gao, Zeyun Yu, Michael J. Holst:
Feature-preserving surface mesh smoothing via suboptimal Delaunay triangulation. Graph. Model. 75(1): 23-38 (2013) - 2012
- [j23]Zhanheng Gao, Zeyun Yu, Michael J. Holst:
Quality tetrahedral mesh smoothing via boundary-optimized Delaunay triangulation. Comput. Aided Geom. Des. 29(9): 707-721 (2012) - [j22]Long Chen, Michael J. Holst, Jinchao Xu, Yunrong Zhu:
Local multilevel preconditioners for elliptic equations with jump coefficients on bisection grids. Comput. Vis. Sci. 15(5): 271-289 (2012) - [j21]Michael J. Holst, Ari Stern:
Geometric Variational Crimes: Hilbert Complexes, Finite Element Exterior Calculus, and Problems on Hypersurfaces. Found. Comput. Math. 12(3): 263-293 (2012) - [j20]Michael J. Holst, Ari Stern:
Semilinear Mixed Problems on Hilbert Complexes and Their Numerical Approximation. Found. Comput. Math. 12(3): 363-387 (2012) - [j19]Burak Aksoylu, Stephen D. Bond, Eric C. Cyr, Michael J. Holst:
Goal-Oriented Adaptivity and Multilevel Preconditioning for the Poisson-Boltzmann Equation. J. Sci. Comput. 52(1): 202-225 (2012) - 2011
- [j18]Zeyun Yu, Guangming Yao, Masahiko Hoshijima, Anushka Michailova, Michael J. Holst:
Multiscale Modeling of Calcium Dynamics in Ventricular Myocytes With Realistic Transverse Tubules. IEEE Trans. Biomed. Eng. 58(10): 2947-2951 (2011) - 2010
- [j17]Benzhuo Lu, Michael J. Holst, James Andrew McCammon, Yongcheng Zhou:
Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes I: Finite element solutions. J. Comput. Phys. 229(19): 6979-6994 (2010) - [j16]Michael J. Holst, Evelyn Lunasin, Tsogtgerel Gantumur:
Analysis of a General Family of Regularized Navier-Stokes and MHD Models. J. Nonlinear Sci. 20(5): 523-567 (2010) - [j15]Yuhui Cheng, Zeyun Yu, Masahiko Hoshijima, Michael J. Holst, Andrew D. McCulloch, James Andrew McCammon, Anushka Michailova:
Numerical Analysis of Ca2+ Signaling in Rat Ventricular Myocytes with Realistic Transverse-Axial Tubular Geometry and Inhibited Sarcoplasmic Reticulum. PLoS Comput. Biol. 6(10) (2010) - 2009
- [j14]Long Chen, Michael J. Holst, Jinchao Xu:
Convergence and optimality of adaptive mixed finite element methods. Math. Comput. 78(265): 35-53 (2009) - 2007
- [j13]Long Chen, Michael J. Holst, Jinchao Xu:
The Finite Element Approximation of the Nonlinear Poisson-Boltzmann Equation. SIAM J. Numer. Anal. 45(6): 2298-2320 (2007) - 2006
- [j12]Burak Aksoylu, Michael J. Holst:
Optimality of Multilevel Preconditioners for Local Mesh Refinement in Three Dimensions. SIAM J. Numer. Anal. 44(3): 1005-1025 (2006) - 2005
- [j11]Donald J. Estep, Michael J. Holst, Mats G. Larson:
Generalized Green's Functions and the Effective Domain of Influence. SIAM J. Sci. Comput. 26(4): 1314-1339 (2005) - 2003
- [j10]Randolph E. Bank, Michael J. Holst:
A New Paradigm for Parallel Adaptive Meshing Algorithms. SIAM Rev. 45(2): 291-323 (2003) - [j9]Burak Aksoylu, Stephen D. Bond, Michael J. Holst:
An Odyssey into Local Refinement and Multilevel Preconditioning III: Implementation and Numerical Experiments. SIAM J. Sci. Comput. 25(2): 478-498 (2003) - 2001
- [j8]Michael J. Holst:
Adaptive Numerical Treatment of Elliptic Systems on Manifolds. Adv. Comput. Math. 15(1-4): 139-191 (2001) - [j7]Nathan A. Baker, David Sept, Michael J. Holst, James Andrew McCammon:
The adaptive multilevel finite element solution of the Poisson-Boltzmann equation on massively parallel computers. IBM J. Res. Dev. 45(3): 427-438 (2001) - [j6]Michael J. Holst, Nathan A. Baker, Feng Wang:
ErratumAdaptive multilevel finite element solution of the Poisson-Boltzmann equation I. Algorithms and examples. J. Comput. Chem. 22(4): 475 (2001) - 2000
- [j5]Michael J. Holst, Nathan A. Baker, Feng Wang:
Adaptive multilevel finite element solution of the Poisson-Boltzmann equation I. Algorithms and examples. J. Comput. Chem. 21(15): 1319-1342 (2000) - [j4]Michael J. Holst, Nathan A. Baker, Feng Wang:
Adaptive multilevel finite element solution of the Poisson-Boltzmann equation II. Refinement at solvent-accessible surfaces in biomolecular systems. J. Comput. Chem. 21(15): 1343-1352 (2000) - [j3]Randolph E. Bank, Michael J. Holst:
A New Paradigm for Parallel Adaptive Meshing Algorithms. SIAM J. Sci. Comput. 22(4): 1411-1443 (2000) - 1995
- [j2]Michael J. Holst, Faisal Saied:
Numerical Solution of t he Nonlinear Poisson-Blotzmann Equation: Developing More Robust and Efficient Methods. J. Comput. Chem. 16(3): 337-364 (1995) - 1993
- [j1]Michael J. Holst, Faisal Saied:
Multigrid solution of the Poisson - Boltzmann equation. J. Comput. Chem. 14(1): 105-113 (1993)
Conference and Workshop Papers
- 2009
- [c1]Yuhui Cheng, Michael J. Holst, James Andrew McCammon:
Finite Element Analysis of Drug Electrostatic Diffusion: Inhibition Rate Studies in N1 Neuraminidase. Pacific Symposium on Biocomputing 2009: 281-292
Parts in Books or Collections
- 2013
- [p2]Michael J. Holst, Ryan Szypowski, Yunrong Zhu:
Adaptive Finite Element Methods with Inexact Solvers for the Nonlinear Poisson-Boltzmann Equation. Domain Decomposition Methods in Science and Engineering XX 2013: 167-174 - [p1]Blanca Ayuso de Dios, Michael J. Holst, Yunrong Zhu, Ludmil T. Zikatanov:
Multigrid Preconditioner for Nonconforming Discretization of Elliptic Problems with Jump Coefficients. Domain Decomposition Methods in Science and Engineering XX 2013: 183-190
Editorship
- 2013
- [e1]Randolph E. Bank, Michael J. Holst, Olof B. Widlund, Jinchao Xu:
Domain Decomposition Methods in Science and Engineering XX. Lecture Notes in Computational Science and Engineering 91, Springer 2013, ISBN 978-3-642-35274-4 [contents]
Informal and Other Publications
- 2021
- [i4]Benjamin Faktor, Michael J. Holst:
A Note On Determining Projections for Non-Homogeneous Incompressible Fluids. CoRR abs/2102.04654 (2021) - 2020
- [i3]Padmini Rangamani, Ali Behzadan, Michael J. Holst:
Local sensitivity analysis of the 'Membrane shape equation' derived from the Helfrich energy. CoRR abs/2005.12550 (2020) - [i2]Evan S. Gawlik, Michael J. Holst, Martin W. Licht:
Local Finite Element Approximation of Sobolev Differential Forms. CoRR abs/2011.00634 (2020) - 2018
- [i1]Christopher T. Lee, John B. Moody, Rommie E. Amaro, James Andrew McCammon, Michael J. Holst:
The Implementation of the Colored Abstract Simplicial Complex and its Application to Mesh Generation. CoRR abs/1807.01417 (2018)
Coauthor Index
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