Michael J. Holst - Publications

Affiliations: 
University of California, San Diego, La Jolla, CA 
Area:
Mathematics

73 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Lee CT, Laughlin JG, Angliviel de La Beaumelle N, Amaro RE, McCammon JA, Ramamoorthi R, Holst M, Rangamani P. 3D mesh processing using GAMer 2 to enable reaction-diffusion simulations in realistic cellular geometries. Plos Computational Biology. 16: e1007756. PMID 32251448 DOI: 10.1371/Journal.Pcbi.1007756  0.351
2020 Lee CT, Laughlin JG, Moody JB, Amaro RE, McCammon JA, Holst M, Rangamani P. An Open-Source Mesh Generation Platform for Biophysical Modeling Using Realistic Cellular Geometries. Biophysical Journal. PMID 32032503 DOI: 10.1016/J.Bpj.2019.11.3400  0.413
2019 Lee CT, Moody JB, Amaro RE, McCammon JA, Holst MJ. The Implementation of the Colored Abstract Simplicial Complex and its Application to Mesh Generation. Acm Transactions On Mathematical Software. Association For Computing Machinery. 45. PMID 31474782 DOI: 10.1145/3321515  0.307
2019 Zhou YC, Holst M, McCammon JA. A Nonlinear Elasticity Model of Macromolecular Conformational Change Induced by Electrostatic Forces. Journal of Mathematical Analysis and Applications. 340: 135-164. PMID 19461946 DOI: 10.1016/J.Jmaa.2007.07.084  0.345
2018 Grogan F, Holst M, Lindblom L, Amaro R. Reliability assessment for large-scale molecular dynamics approximations. The Journal of Chemical Physics. 147: 234106. PMID 29272950 DOI: 10.1063/1.5009431  0.313
2018 Holst M, Tiee C. Finite Element Exterior Calculus for Parabolic Evolution Problems On Riemannian Hypersurfaces Journal of Computational Mathematics. 36: 792-832. DOI: 10.4208/Jcm.1705-M2016-0545  0.518
2018 Holst M, Meier C, Tsogtgerel G. Non-CMC Solutions of the Einstein Constraint Equations on Compact Manifolds with Apparent Horizon Boundaries Communications in Mathematical Physics. 357: 467-517. DOI: 10.1007/S00220-017-3004-9  0.609
2017 Jurrus E, Engel D, Star K, Monson K, Brandi J, Felberg LE, Brookes DH, Wilson L, Chen J, Liles K, Chun M, Li P, Gohara DW, Dolinsky T, Konecny R, ... ... Holst MJ, et al. Improvements to the APBS biomolecular solvation software suite. Protein Science : a Publication of the Protein Society. PMID 28836357 DOI: 10.1002/Pro.3280  0.37
2017 Lee C, Moody J, Andrew McCammon J, Holst M, Amaro RE. Investigating Transport Properties with Multi-Scale Computable Mesh Models from Heterogeneous Structural Datasets Biophysical Journal. 112: 293a. DOI: 10.1016/J.Bpj.2016.11.1586  0.338
2016 Holst M, Sarbach O, Tiglio M, Vallisneri M. The emergence of gravitational wave science: 100 years of development of mathematical theory, detectors, numerical algorithms, and data analysis tools Bulletin of the American Mathematical Society. 53: 513-554. DOI: 10.1090/Bull/1544  0.312
2016 Holst M, Pollock S. Convergence of goal-oriented adaptive finite element methods for nonsymmetric problems Numerical Methods For Partial Differential Equations. 32: 479-509. DOI: 10.1002/Num.22002  0.711
2015 Vincent KP, Gonzales MJ, Gillette AK, Villongco CT, Pezzuto S, Omens JH, Holst MJ, McCulloch AD. High-order finite element methods for cardiac monodomain simulations. Frontiers in Physiology. 6: 217. PMID 26300783 DOI: 10.3389/Fphys.2015.00217  0.455
2015 Zhang Y, Key K, Holst M, Ovall J. Parallel Goal-Oriented Adaptive Finite Element Modeling for 3D Electromagnetic Exploration Seg Technical Program Expanded Abstracts. DOI: 10.1190/Segam2015-5877991.1  0.389
2015 Holst M, Meier C. Non-CMC solutions to the Einstein constraint equations on asymptotically Euclidean manifolds with apparent horizon boundaries Classical and Quantum Gravity. 32. DOI: 10.1088/0264-9381/32/2/025006  0.631
2015 Holst M, Pollock S, Zhu Y. Convergence of goal-oriented adaptive finite element methods for semilinear problems Computing and Visualization in Science. 17: 43-63. DOI: 10.1007/S00791-015-0243-1  0.714
2014 De Dios BA, Holst M, Zhu Y, Zikatanov L. Multilevel preconditioners for discontinuous Galerkin approximations of elliptic problems with jump coefficients Mathematics of Computation. 83: 1083-1120. DOI: 10.1090/S0025-5718-2013-02760-3  0.402
2014 Holst M, Meier C. Generalized Solutions to Semilinear Elliptic PDE with Applications to the Lichnerowicz Equation Acta Applicandae Mathematicae. 130: 163-203. DOI: 10.1007/S10440-013-9842-3  0.646
2013 Liao T, Zhang Y, Kekenes-Huskey PM, Cheng Y, Michailova A, McCulloch AD, Holst M, McCammon JA. Multi-core CPU or GPU-accelerated Multiscale Modeling for Biomolecular Complexes. Molecular Based Mathematical Biology (Online). 1. PMID 24352481 DOI: 10.2478/Mlbmb-2013-0009  0.337
2013 Gao Z, Yu Z, Holst M. Feature-preserving surface mesh smoothing via suboptimal Delaunay triangulation Graphical Models \/Graphical Models and Image Processing \/Computer Vision, Graphics, and Image Processing. 75: 23-38. PMID 23580890 DOI: 10.1016/J.Gmod.2012.10.007  0.43
2013 Holst M, Tsogtgerel G. The Lichnerowicz equation on compact manifolds with boundary Classical and Quantum Gravity. 30: 205011. DOI: 10.1088/0264-9381/30/20/205011  0.45
2013 De Dios BA, Holst M, Zhu Y, Zikatanov L. Multigrid Preconditioner for Nonconforming Discretization of Elliptic Problems with Jump Coefficients Lecture Notes in Computational Science and Engineering. 91: 183-190. DOI: 10.1007/978-3-642-35275-1_20  0.309
2013 Holst M, Szypowski R, Zhu Y. Adaptive Finite Element Methods with Inexact Solvers for the Nonlinear Poisson-Boltzmann Equation Lecture Notes in Computational Science and Engineering. 91: 167-174. DOI: 10.1007/978-3-642-35275-1_18  0.753
2013 Holst M, Szypowski R, Zhu Y. Two-grid methods for semilinear interface problems Numerical Methods For Partial Differential Equations. 29: 1729-1748. DOI: 10.1002/Num.21774  0.758
2012 Gao Z, Yu Z, Holst M. Quality tetrahedral mesh smoothing via boundary-optimized Delaunay triangulation Computer Aided Geometric Design. 29: 707-721. PMID 23144522 DOI: 10.1016/J.Cagd.2012.07.001  0.427
2012 Holst M, McCammon JA, Yu Z, Zhou Y, Zhu Y. ADAPTIVE FINITE ELEMENT MODELING TECHNIQUES FOR THE POISSON-BOLTZMANN EQUATION. Communications in Computational Physics. 11: 179-214. PMID 21949541 DOI: 10.4208/Cicp.081009.130611A  0.555
2012 Cheng Y, Kekenes-Huskey P, Hake E, Holst J, McCammon A, Michailova P, Hake JE, Holst MJ, McCammon JA, Michailova AP. Multi-scale continuum modeling of biological processes: From molecular electro-diffusion to sub-cellular signaling transduction Computational Science and Discovery. 5. DOI: 10.1088/1749-4699/5/1/015002  0.308
2012 Estep D, Holst MJ, Målqvist A. Nonparametric density estimation for randomly perturbed elliptic problems III: Convergence, computational cost, and generalizations Journal of Applied Mathematics and Computing. 38: 367-387. DOI: 10.1007/S12190-011-0484-1  0.354
2012 Aksoylu B, Bond SD, Cyr EC, Holst M. Goal-oriented adaptivity and multilevel preconditioning for the poisson-boltzmann equation Journal of Scientific Computing. 52: 202-225. DOI: 10.1007/S10915-011-9539-6  0.747
2012 Holst M, Stern A. Geometric Variational Crimes: Hilbert Complexes, Finite Element Exterior Calculus, and Problems on Hypersurfaces Foundations of Computational Mathematics. 12: 263-293. DOI: 10.1007/S10208-012-9119-7  0.481
2012 Holst M, Stern A. Semilinear Mixed Problems on Hilbert Complexes and Their Numerical Approximation Foundations of Computational Mathematics. 12: 363-387. DOI: 10.1007/S10208-011-9110-8  0.507
2012 Chen L, Holst M, Xu J, Zhu Y. Local multilevel preconditioners for elliptic equations with jump coefficients on bisection grids Computing and Visualization in Science. 15: 271-289. DOI: 10.1007/S00791-013-0213-4  0.48
2011 Yu Z, Yao G, Hoshijima M, Michailova A, Holst M. Multiscale modeling of calcium dynamics in ventricular myocytes with realistic transverse tubules. Ieee Transactions On Bio-Medical Engineering. 58: 2947-51. PMID 21632291 DOI: 10.1109/Tbme.2011.2158316  0.342
2011 Holst M, Kungurtsev V. Numerical bifurcation analysis of conformal formulations of the Einstein constraints Physical Review D. 84: 124038. DOI: 10.1103/Physrevd.84.124038  0.435
2011 Chen L, Holst M. Efficient mesh optimization schemes based on Optimal Delaunay Triangulations Computer Methods in Applied Mechanics and Engineering. 200: 967-984. DOI: 10.1016/J.Cma.2010.11.007  0.334
2011 Holst M, Ovall JS, Szypowski R. An efficient, reliable and robust error estimator for elliptic problems in ℝ3 Applied Numerical Mathematics. 61: 675-695. DOI: 10.1016/J.Apnum.2011.01.002  0.735
2010 Lu B, Holst MJ, McCammon JA, Zhou YC. Poisson-Nernst-Planck Equations for Simulating Biomolecular Diffusion-Reaction Processes I: Finite Element Solutions. Journal of Computational Physics. 229: 6979-6994. PMID 21709855 DOI: 10.1016/J.Jcp.2010.05.035  0.496
2010 Holst MJ, Larson MG, Målqvist A, Söderlund R. Convergence analysis of finite element approximations of the Joule heating problem in three spatial dimensions Bit Numerical Mathematics. 50: 781-795. DOI: 10.1007/S10543-010-0287-Z  0.463
2010 Holst M, Lunasin E, Tsogtgerel G. Analysis of a General Family of Regularized Navier-Stokes and MHD Models Journal of Nonlinear Science. 20: 523-567. DOI: 10.1007/S00332-010-9066-X  0.306
2009 Bylaska EJ, Holst M, Weare JH. Adaptive Finite Element Method for Solving the Exact Kohn-Sham Equation of Density Functional Theory. Journal of Chemical Theory and Computation. 5: 937-48. PMID 26609603 DOI: 10.1021/Ct800350J  0.425
2009 Chen L, Holst MJ, Xu J. Convergence and Optimality of Adaptive Mixed Finite Element Methods Mathematics of Computation. 78: 35-53. DOI: 10.1090/S0025-5718-08-02155-8  0.497
2009 Korobkin O, Aksoylu B, Holst M, Pazos E, Tiglio M. Solving the Einstein constraint equations on multi-block triangulations using finite element methods Classical and Quantum Gravity. 26. DOI: 10.1088/0264-9381/26/14/145007  0.77
2009 Bylaska EJ, Holst M, Weare JH. Adaptive finite element method for solving the exact kohn-sham equation of density functional theory Journal of Chemical Theory and Computation. 5: 937-948. DOI: 10.1021/ct800350j  0.342
2009 Holst M, Nagy G, Tsogtgerel G. Rough solutions of the Einstein constraints on closed manifolds without near-CMC conditions Communications in Mathematical Physics. 288: 547-613. DOI: 10.1007/S00220-009-0743-2  0.344
2008 Holst M, Nagy G, Tsogtgerel G. Far-from-constant mean curvature solutions of Einstein's constraint equations with positive Yamabe metrics. Physical Review Letters. 100: 161101-161101. PMID 18518180 DOI: 10.1103/Physrevlett.100.161101  0.387
2008 Yu Z, Holst MJ, Cheng Y, McCammon JA. Feature-preserving adaptive mesh generation for molecular shape modeling and simulation. Journal of Molecular Graphics & Modelling. 26: 1370-80. PMID 18337134 DOI: 10.1016/J.Jmgm.2008.01.007  0.391
2008 Yu Z, Holst MJ, Andrew McCammon J. High-fidelity geometric modeling for biomedical applications Finite Elements in Analysis and Design. 44: 715-723. DOI: 10.1016/J.Finel.2008.03.004  0.388
2008 Lu BZ, Zhou YC, Holst MJ, McCammon JA. Recent progress in numerical methods for the Poisson-Boltzmann equation in biophysical applications Communications in Computational Physics. 3: 973-1009.  0.39
2007 Lu B, Zhou YC, Huber GA, Bond SD, Holst MJ, McCammon JA. Electrodiffusion: a continuum modeling framework for biomolecular systems with realistic spatiotemporal resolution. The Journal of Chemical Physics. 127: 135102. PMID 17919055 DOI: 10.1063/1.2775933  0.489
2007 Cheng Y, Suen JK, Zhang D, Bond SD, Zhang Y, Song Y, Baker NA, Bajaj CL, Holst MJ, McCammon JA. Finite element analysis of the time-dependent Smoluchowski equation for acetylcholinesterase reaction rate calculations. Biophysical Journal. 92: 3397-406. PMID 17307827 DOI: 10.1529/Biophysj.106.102533  0.412
2007 Cheng Y, Suen JK, Radić Z, Bond SD, Holst MJ, McCammon JA. Continuum simulations of acetylcholine diffusion with reaction-determined boundaries in neuromuscular junction models. Biophysical Chemistry. 127: 129-39. PMID 17307283 DOI: 10.1016/J.Bpc.2007.01.003  0.342
2007 Chen L, Holst MJ, Xu J. The finite element approximation of the nonlinear Poisson-Boltzmann equation Siam Journal On Numerical Analysis. 45: 2298-2320. DOI: 10.1137/060675514  0.522
2006 Aksoylu B, Holst M. Optimality of multilevel preconditioners for local mesh refinement in three dimensions Siam Journal On Numerical Analysis. 44: 1005-1025. DOI: 10.1137/S0036142902406119  0.731
2005 Zhang D, Suen J, Zhang Y, Song Y, Radic Z, Taylor P, Holst MJ, Bajaj C, Baker NA, McCammon JA. Tetrameric mouse acetylcholinesterase: continuum diffusion rate calculations by solving the steady-state Smoluchowski equation using finite element methods. Biophysical Journal. 88: 1659-65. PMID 15626705 DOI: 10.1529/Biophysj.104.053850  0.346
2005 Estep D, Holst M, Larson M. Generalized Green's functions and the effective domain of influence Siam Journal On Scientific Computing. 26: 1314-1339. DOI: 10.1137/S1064827502416319  0.45
2004 Holst M, Lindblom L, Owen R, Pfeiffer HP, Scheel MA, Kidder LE. Optimal constraint projection for hyperbolic evolution systems Physical Review D - Particles, Fields, Gravitation and Cosmology. 70: 084017-1-084017-17. DOI: 10.1103/Physrevd.70.084017  0.338
2003 Tai K, Bond SD, MacMillan HR, Baker NA, Holst MJ, McCammon JA. Finite element simulations of acetylcholine diffusion in neuromuscular junctions. Biophysical Journal. 84: 2234-41. PMID 12668432 DOI: 10.1016/S0006-3495(03)75029-2  0.344
2003 Aksoylu B, Bond S, Holst M. An odyssey into local refinement and multilevel preconditioning III: Implementation and numerical experiments Siam Journal On Scientific Computing. 25: 478-498. DOI: 10.1137/S1064827502407676  0.751
2003 Bank RE, Holst M. A New Paradigm for Parallel Adaptive Meshing Algorithms Siam Review. 45: 291-323. DOI: 10.1137/S003614450342061  0.458
2002 Estep D, Holst M, Mikulencak D. Accounting for stability: A posteriori error estimates based on residuals and variational analysis Communications in Numerical Methods in Engineering. 18: 15-30. DOI: 10.1002/Cnm.461  0.372
2001 Baker NA, Sept D, Joseph S, Holst MJ, McCammon JA. Electrostatics of nanosystems: Application to microtubules and the ribosome Proceedings of the National Academy of Sciences of the United States of America. 98: 10037-10041. PMID 11517324 DOI: 10.1073/Pnas.181342398  0.391
2001 Baker NA, Sept D, Holst MJ, McCammon JA. The adaptive multilevel finite element solution of the Poisson-Boltzmann equation on massively parallel computers Ibm Journal of Research and Development. 45: 427-438. DOI: 10.1147/Rd.453.0427  0.435
2001 Baker NA, Sept D, Holst MJ, McCammon JA. The adaptive multilevel finite element solution of the Poisson-Boltzmann equation on massively parallel computers Ibm Journal of Research and Development. 45: 427-438. DOI: 10.1147/rd.453.0427  0.364
2001 Bank RE, Holst M. A new paradigm for parallel adaptive meshing algorithms Siam Journal On Scientific Computing. 22: 1411-1443. DOI: 10.1137/S1064827599353701  0.45
2001 Ashby SF, Holst MJ, Manteuffel TA, Saylor PE. The role of the inner product in stopping criteria for conjugate gradient iterations Bit Numerical Mathematics. 41: 26-52. DOI: 10.1023/A:1021961616621  0.334
2001 Holst MJ. Adaptive Numerical Treatment of Elliptic Systems on Manifolds Advances in Computational Mathematics. 15: 139-191. DOI: 10.1023/A:1014246117321  0.557
2000 Baker N, Holst M, Wang F. Adaptive multilevel finite element solution of the Poisson-Boltzmann equation II. Refinement at solvent-accessible surfaces in biomolecular systems Journal of Computational Chemistry. 21: 1343-1352. DOI: 10.1002/1096-987X(20001130)21:15<1343::Aid-Jcc2>3.0.Co;2-K  0.523
2000 Holst M, Baker N, Wang F. Adaptive multilevel finite element solution of the Poisson-Boltzmann equation I. Algorithms and examples Journal of Computational Chemistry. 21: 1319-1342. DOI: 10.1002/1096-987X(20001130)21:15<1319::Aid-Jcc1>3.0.Co;2-8  0.567
1997 Holst M, Vandewalle S. Schwarz Methods: To Symmetrize or Not to Symmetrize Siam Journal On Numerical Analysis. 34: 699-722. DOI: 10.1137/S0036142994275743  0.407
1997 Stetter HJ, Van Loan C, Holst M, Stenger F, Shu C, Mattheij R, Wright SJ, Coleman TF, Wahlbin LB. Book Review: Lectures on finite precision computations Mathematics of Computation. 66: 1751-1764. DOI: 10.1090/S0025-5718-97-00910-1  0.346
1995 Holst MJ, Saied F. Numerical solution of the nonlinear Poisson–Boltzmann equation: Developing more robust and efficient methods Journal of Computational Chemistry. 16: 337-364. DOI: 10.1002/Jcc.540160308  0.453
1994 Holst M, Kozack RE, Saied F, Subramaniam S. Treatment of electrostatic effects in proteins: multigrid-based Newton iterative method for solution of the full nonlinear Poisson-Boltzmann equation. Proteins. 18: 231-245. PMID 8202464 DOI: 10.1002/Prot.340180304  0.426
1994 Holst M, Kozack RE, Saied F, Subramaniam S. Protein Electrostatics: Rapid Multigrid-Based Newton Algorithm for Solution of the Full Nonlinear Poisson-Boltzmann Equation Journal of Biomolecular Structure & Dynamics. 11: 1437-1445. PMID 7946084 DOI: 10.1080/07391102.1994.10508078  0.46
1993 Holst M, Saied F. Multigrid solution of the Poisson-Boltzmann equation Journal of Computational Chemistry. 14: 105-113. DOI: 10.1002/Jcc.540140114  0.481
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