Multigrid solution of the Poisson - Boltzmann equation. - Michael J. Holst; Faisal Saied (J. Comput. Chem., 1993)

Multilevel Methods for the Poisson-Boltzmann Equation - Michael J. Holst (1993)

Numerical Solution of t he Nonlinear Poisson-Blotzmann Equation: Developing More Robust and Efficient Methods. - Michael J. Holst; Faisal Saied (J. Comput. Chem., 1995)

Adaptive multilevel finite element solution of the Poisson-Boltzmann equation I. Algorithms and examples. - Michael J. Holst; Nathan A. Baker; Feng Wang (J. Comput. Chem., 2000)

Adaptive multilevel finite element solution of the Poisson-Boltzmann equation II. Refinement at solvent-accessible surfaces in biomolecular systems. - Michael J. Holst; Nathan A. Baker; Feng Wang (J. Comput. Chem., 2000)

Adaptive Numerical Treatment of Elliptic Systems on Manifolds. - Michael J. Holst (Adv. Comput. Math., 2001)

The adaptive multilevel finite element solution of the Poisson-Boltzmann equation on massively parallel computers. - Nathan A. Baker; David Sept; Michael J. Holst; James Andrew McCammon (IBM J. Res. Dev., 2001)

ErratumAdaptive multilevel finite element solution of the Poisson-Boltzmann equation I. Algorithms and examples. - Michael J. Holst; Nathan A. Baker; Feng Wang (J. Comput. Chem., 2001)

A New Paradigm for Parallel Adaptive Meshing Algorithms. - Randolph E. Bank; Michael J. Holst (SIAM Rev., 2003)

An Odyssey into Local Refinement and Multilevel Preconditioning III: Implementation and Numerical Experiments. - Burak Aksoylu; Stephen D. Bond; Michael J. Holst (SIAM J. Sci. Comput., 2003)

Generalized Green's Functions and the Effective Domain of Influence. - Donald J. Estep; Michael J. Holst; Mats G. Larson (SIAM J. Sci. Comput., 2005)

Optimality of Multilevel Preconditioners for Local Mesh Refinement in Three Dimensions. - Burak Aksoylu; Michael J. Holst (SIAM J. Numer. Anal., 2006)

The Finite Element Approximation of the Nonlinear Poisson-Boltzmann Equation. - Long Chen 002; Michael J. Holst; Jinchao Xu (SIAM J. Numer. Anal., 2007)

Finite Element Analysis of Drug Electrostatic Diffusion: Inhibition Rate Studies in N1 Neuraminidase. - Yuhui Cheng; Michael J. Holst; James Andrew McCammon (Pacific Symposium on Biocomputing, 2009)

Convergence and optimality of adaptive mixed finite element methods. - Long Chen 002; Michael J. Holst; Jinchao Xu (Math. Comput., 2009)

Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes I: Finite element solutions. - Benzhuo Lu; Michael J. Holst; James Andrew McCammon; Yongcheng Zhou (J. Comput. Phys., 2010)

Analysis of a General Family of Regularized Navier-Stokes and MHD Models. - Michael J. Holst; Evelyn Lunasin; Tsogtgerel Gantumur (J. Nonlinear Sci., 2010)

Numerical Analysis of Ca2+ Signaling in Rat Ventricular Myocytes with Realistic Transverse-Axial Tubular Geometry and Inhibited Sarcoplasmic Reticulum. - Yuhui Cheng; Zeyun Yu; Masahiko Hoshijima; Michael J. Holst; Andrew D. McCulloch; James Andrew McCammon; Anushka Michailova (PLoS Comput. Biol., 2010)

Multiscale Modeling of Calcium Dynamics in Ventricular Myocytes With Realistic Transverse Tubules. - Zeyun Yu; Guangming Yao; Masahiko Hoshijima; Anushka Michailova; Michael J. Holst (IEEE Trans. Biomed. Eng., 2011)

Quality tetrahedral mesh smoothing via boundary-optimized Delaunay triangulation. - Zhanheng Gao; Zeyun Yu; Michael J. Holst (Comput. Aided Geom. Des., 2012)

Local multilevel preconditioners for elliptic equations with jump coefficients on bisection grids. - Long Chen 002; Michael J. Holst; Jinchao Xu; Yunrong Zhu (Comput. Vis. Sci., 2012)

Geometric Variational Crimes: Hilbert Complexes, Finite Element Exterior Calculus, and Problems on Hypersurfaces. - Michael J. Holst; Ari Stern (Found. Comput. Math., 2012)

Semilinear Mixed Problems on Hilbert Complexes and Their Numerical Approximation. - Michael J. Holst; Ari Stern (Found. Comput. Math., 2012)

Goal-Oriented Adaptivity and Multilevel Preconditioning for the Poisson-Boltzmann Equation. - Burak Aksoylu; Stephen D. Bond; Eric C. Cyr; Michael J. Holst (J. Sci. Comput., 2012)

Feature-preserving surface mesh smoothing via suboptimal Delaunay triangulation. - Zhanheng Gao; Zeyun Yu; Michael J. Holst (Graph. Model., 2013)

Multigrid Preconditioner for Nonconforming Discretization of Elliptic Problems with Jump Coefficients. - Blanca Ayuso de Dios; Michael J. Holst; Yunrong Zhu; Ludmil T. Zikatanov (Domain Decomposition Methods in Science and Engineering XX, 2013)

Adaptive Finite Element Methods with Inexact Solvers for the Nonlinear Poisson-Boltzmann Equation. - Michael J. Holst; Ryan Szypowski; Yunrong Zhu (Domain Decomposition Methods in Science and Engineering XX, 2013)

Multilevel preconditioners for discontinuous, Galerkin approximations of elliptic problems, with jump coefficients. - Blanca Ayuso de Dios; Michael J. Holst; Yunrong Zhu; Ludmil T. Zikatanov (Math. Comput., 2014)

Convergence of goal-oriented adaptive finite element methods for semilinear problems. - Michael J. Holst; Sara N. Pollock; Yunrong Zhu (Comput. Vis. Sci., 2015)

The Implementation of the Colored Abstract Simplicial Complex and Its Application to Mesh Generation. - Christopher T. Lee; John B. Moody; Rommie E. Amaro; James Andrew McCammon; Michael J. Holst (ACM Trans. Math. Softw., 2019)

Local sensitivity analysis of the 'Membrane shape equation' derived from the Helfrich energy. - Padmini Rangamani; Ali Behzadan; Michael J. Holst (CoRR, 2020)

Local Finite Element Approximation of Sobolev Differential Forms. - Evan S. Gawlik; Michael J. Holst; Martin W. Licht (CoRR, 2020)

3D mesh processing using GAMer 2 to enable reaction-diffusion simulations in realistic cellular geometries. - Christopher T. Lee; Justin G. Laughlin; Nils Angliviel de La Beaumelle; Rommie E. Amaro; James Andrew McCammon; Ravi Ramamoorthi; Michael J. Holst; Padmini Rangamani (PLoS Comput. Biol., 2020)

A Note On Determining Projections for Non-Homogeneous Incompressible Fluids. - Benjamin Faktor; Michael J. Holst (CoRR, 2021)

Symmetry Breaking and the Generation of Spin Ordered Magnetic States in Density Functional Theory Due to Dirac Exchange for a Hydrogen Molecule. - Michael J. Holst; Houdong Hu; Jianfeng Lu 001; Jeremy Louis Marzuola; Duo Song; Jonathan Weare (J. Nonlinear Sci., 2022)