Donald L. Brown

Generating author description...

All published works

Action	Title	Year	Authors
+ PDF Chat	Multiscale Sub-grid Correction Method for Time-Harmonic High-Frequency Elastodynamics with Wave Number Explicit Bounds	2022	Donald L. Brown Dietmar Gallistl
+ PDF Chat	Preconditioning Markov Chain Monte Carlo Method for Geomechanical Subsidence using multiscale method and machine learning technique	2021	Maria Vasilyeva Aleksei Tyrylgin Donald L. Brown Anirban Mondal
+	Preconditioning Markov Chain Monte Carlo Method for Geomechanical Subsidence using multiscale method and machine learning technique	2020	Maria Vasilyeva Aleksei Tyrylgin Donald L. Brown Anirban Mondal
+	Preconditioning Markov Chain Monte Carlo Method for Geomechanical Subsidence using multiscale method and machine learning technique	2020	Maria Vasilyeva Aleksei Tyrylgin Donald L. Brown Anirban Mondal
+	Upscaling Singular Sources in Weighted Sobolev Spaces by Sub-Grid Corrections	2018	Donald L. Brown Joscha Gedicke
+ PDF Chat	Numerical Homogenization of Heterogeneous Fractional Laplacians	2018	Donald L. Brown Joscha Gedicke Daniel Peterseim
+	Numerical Homogenization of Heterogeneous Fractional Laplacians	2017	Donald L. Brown Joscha Gedicke Daniel Peterseim
+ PDF Chat	Multiscale Petrov-Galerkin Method for High-Frequency Heterogeneous Helmholtz Equations	2017	Donald L. Brown Dietmar Gallistl Daniel Peterseim
+ PDF Chat	Upscaled Lattice Boltzmann Method for Simulations of Flows in Heterogeneous Porous Media	2017	Jun Li Donald L. Brown
+	Numerical Homogenization of Heterogeneous Fractional Laplacians	2017	Donald L. Brown Joscha Gedicke Daniel Peterseim
+	An energy-stable time-integrator for phase-field models	2016	Philippe Vignal Nathan Collier Lisandro Dalcín Donald L. Brown Victor M. Calo
+ PDF Chat	A Multiscale Method for Porous Microstructures	2016	Donald L. Brown Daniel Peterseim
+	Multiscale Sub-grid Correction Method for Time-Harmonic High-Frequency Elastodynamics with Wavenumber Explicit Bounds	2016	Donald L. Brown Dietmar Gallistl
+	Multiscale Petrov-Galerkin Method for High-Frequency Heterogeneous Helmholtz Equations	2015	Donald L. Brown Dietmar Gallistl Daniel Peterseim
+	A generalized multiscale finite element method for poroelasticity problems II: Nonlinear coupling	2015	Donald L. Brown Maria Vasilyeva
+	A Generalized Multiscale Finite Element Method for poroelasticity problems I: Linear problems	2015	Donald L. Brown Maria Vasilyeva
+	A Generalized Multiscale Finite Element Method for Poroelasticity Problems II: Nonlinear Coupling	2015	Donald L. Brown Maria Vasilyeva
+	A Generalized Multiscale Finite Element Method for Poroelasticity Problems I: Linear Problems	2015	Donald L. Brown Maria Vasilyeva
+ PDF Chat	An energy-stable convex splitting for the phase-field crystal equation	2015	Philippe Vignal Lisandro Dalcín Donald L. Brown Nathaniel O. Collier Victor M. Calo
+	A Generalized Multiscale Finite Element Method for Poroelasticity Problems II: Nonlinear Coupling	2015	Donald L. Brown Maria Vasilyeva
+	A Generalized Multiscale Finite Element Method for Poroelasticity Problems I: Linear Problems	2015	Donald L. Brown Maria Vasilyeva
+	Multiscale Petrov-Galerkin Method for High-Frequency Heterogeneous Helmholtz Equations	2015	Donald L. Brown Dietmar Gallistl Daniel Peterseim
+	A Multiscale Method for Porous Microstructures	2014	Donald L. Brown Daniel Peterseim
+	A Multiscale Method for Porous Microstructures	2014	Donald L. Brown Daniel Peterseim
+	Upscaled Lattice Boltzmann Method for Simulations of Flows in Heterogeneous Porous Media	2013	Jun Li Donald L. Brown
+	A finite volume method for solving the Navier-Stokes equations on composite overlapping grids	1990	Donald L. Brown

Common Coauthors

Coauthor	Papers Together
Maria Vasilyeva	9
Daniel Peterseim	9
Dietmar Gallistl	5
Joscha Gedicke	4
Anirban Mondal	3
Aleksei Tyrylgin	3
Lisandro Dalcín	2
Philippe Vignal	2
Jun Li	2
Victor M. Calo	2
Nathan Collier	1
Nathaniel O. Collier	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Localization of elliptic multiscale problems	2014	Axel Målqvist Daniel Peterseim	8
+ PDF Chat	A localized orthogonal decomposition method for semi-linear elliptic problems	2013	Patrick Henning Axel Målqvist Daniel Peterseim	5
+ PDF Chat	Multiscale Partition of Unity	2014	Patrick Henning Philipp Morgenstern Daniel Peterseim	5
+ PDF Chat	Oversampling for the Multiscale Finite Element Method	2013	Patrick Henning Daniel Peterseim	4
+ PDF Chat	A Multiscale Method for Porous Microstructures	2016	Donald L. Brown Daniel Peterseim	4
+	Variational Multiscale Analysis: the Fine‐scale Green’s Function, Projection, Optimization, Localization, and Stabilized Methods	2007	Thomas J.R. Hughes Giancarlo Sangalli	4
+ PDF Chat	Localized orthogonal decomposition method for the wave equation with a continuum of scales	2015	Assyr Abdulle Patrick Henning	4
+ PDF Chat	Multiscale Petrov-Galerkin Method for High-Frequency Heterogeneous Helmholtz Equations	2017	Donald L. Brown Dietmar Gallistl Daniel Peterseim	3
+	A Generalized Multiscale Finite Element Method for poroelasticity problems I: Linear problems	2015	Donald L. Brown Maria Vasilyeva	3
+	Eliminating the pollution effect in Helmholtz problems by local subscale correction	2016	Daniel Peterseim	3
+	A generalized multiscale finite element method for poroelasticity problems II: Nonlinear coupling	2015	Donald L. Brown Maria Vasilyeva	3
+ PDF Chat	On the stability of the $L^2$ projection in $H^1(\Omega)$	2001	James H. Bramble Joseph E. Pasciak Olaf Steinbach	3
+ PDF Chat	Generalized multiscale finite element methods (GMsFEM)	2013	Yalchin Efendiev Juan Galvis Thomas Y. Hou	3
+ PDF Chat	Stable multiscale Petrov–Galerkin finite element method for high frequency acoustic scattering	2015	Dietmar Gallistl Daniel Peterseim	3
+ PDF Chat	Two-Level Discretization Techniques for Ground State Computations of Bose-Einstein Condensates	2014	Patrick Henning Axel Målqvist Daniel Peterseim	3
+ PDF Chat	Weighted Sobolev spaces and embedding theorems	2009	Vladimir Gol’dshtein Alexander Ukhlov	3
+	Fractional elliptic equations, Caccioppoli estimates and regularity	2015	Pablo Raúl Stinga Luis Caffarelli	3
+	The local regularity of solutions of degenerate elliptic equations	1982	Eugene B. Fabes Carlos E. Kenig Raul Serapioni	3
+ PDF Chat	Positive solutions of nonlinear problems involving the square root of the Laplacian	2010	Xavier Cabré Jinggang Tan	3
+ PDF Chat	Numerical approximation of fractional powers of elliptic operators	2015	Andrea Bonito Joseph E. Pasciak	2
+ PDF Chat	The Cost of Continuity: Performance of Iterative Solvers on Isogeometric Finite Elements	2013	Nathan Collier Lisandro Dalcín David Pardo Victor M. Calo	2
+ PDF Chat	A concave—convex elliptic problem involving the fractional Laplacian	2013	Cristina Brändle Eduardo Colorado A. de Pablo Urko Sánchez	2
+ PDF Chat	Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation	2009	Zhaozheng Hu Steven M. Wise C. Wang John Lowengrub	2
+ PDF Chat	An MsFEM Type Approach for Perforated Domains	2014	Claude Le Bris Frédéric Legoll Alexei Lozinski	2
+ PDF Chat	Computation of eigenvalues by numerical upscaling	2014	Axel Målqvist Daniel Peterseim	2
+	Lattice BGK Models for Navier-Stokes Equation	1992	Y. H. Qian Dominique d’Humières Pierre Lallemand	2
+ PDF Chat	Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations	2011	Antonio Capella Juan Dávila Louis Dupaigne Yannick Sire	2
+ PDF Chat	An energy-stable convex splitting for the phase-field crystal equation	2015	Philippe Vignal Lisandro Dalcín Donald L. Brown Nathaniel O. Collier Victor M. Calo	2
+ PDF Chat	Robust Numerical Upscaling of Elliptic Multiscale Problems at High Contrast	2016	Daniel Peterseim Robert Scheichl	2
+ PDF Chat	Computational multiscale methods for linear poroelasticity with high contrast	2019	Shubin Fu Robert Altmann Eric T. Chung Roland Maier Daniel Peterseim Sai-Mang Pun	2
+ PDF Chat	Finite element quasi-interpolation and best approximation	2016	Alexandre Ern Jean‐Luc Guermond	2
+	Splitting schemes for poroelasticity and thermoelasticity problems	2014	Alexandr E. Kolesov Petr N. Vabishchevich Maria Vasilyeva	2
+ PDF Chat	Multiscale Sub-grid Correction Method for Time-Harmonic High-Frequency Elastodynamics with Wave Number Explicit Bounds	2022	Donald L. Brown Dietmar Gallistl	2
+	Fractional vector calculus for fractional advection–dispersion	2005	Mark M. Meerschaert Jeff Mortensen Stephen W. Wheatcraft	2
+ PDF Chat	Stabilized second‐order convex splitting schemes for Cahn–Hilliard models with application to diffuse‐interface tumor‐growth models	2013	Xu Wu G. J. van Zwieten Kristoffer G. van der Zee	2
+ PDF Chat	Variational Multiscale Stabilization and the Exponential Decay of Fine-Scale Correctors	2016	Daniel Peterseim	2
+ PDF Chat	Generalized multiscale finite element method for elasticity equations	2014	Eric T. Chung Yalchin Efendiev Shubin Fu	2
+	SHARP REGULARITY COEFFICIENT ESTIMATES FOR COMPLEX-VALUED ACOUSTIC AND ELASTIC HELMHOLTZ EQUATIONS	2006	Peter T. Cummings Xiaobing Feng	2
+ PDF Chat	Condition number estimates for combined potential integral operators in acoustics and their boundary element discretisation	2010	Timo Betcke Simon N. Chandler‐Wilde Ivan G. Graham S. Langdon Marko Lindner	2
+ PDF Chat	The cost of continuity: A study of the performance of isogeometric finite elements using direct solvers	2011	Nathan Collier David Pardo Lisandro Dalcín Maciej Paszyński Victor M. Calo	2
+	Stability, Accuracy, and Efficiency of Sequential Methods for Coupled Flow and Geomechanics	2011	Jihoon Kim Hamdi A. Tchelepi R.. Juanes	2
+ PDF Chat	Stability estimates for a class of Helmholtz problems	2007	Ulrich Hetmaniuk	2
+ PDF Chat	Weighted norm inequalities for the Hardy maximal function	1972	Benjamin Muckenhoupt	2
+	Simulation of nonideal gases and liquid-gas phase transitions by the lattice Boltzmann equation	1994	Xiaowen Shan Hudong Chen	2
+ PDF Chat	Modeling Elasticity in Crystal Growth	2002	K. R. Elder Mark Katakowski Mikko Haataja Martin Grant	2
+	Hitchhikerʼs guide to the fractional Sobolev spaces	2011	Eleonora Di Nezza Giampiero Palatucci Enrico Valdinoci	2
+	Understanding the Metropolis-Hastings Algorithm	1995	Siddhartha Chib Edward Greenberg	2
+ PDF Chat	On the computational efficiency of isogeometric methods for smooth elliptic problems using direct solvers	2014	Nathan Collier Lisandro Dalcín Victor M. Calo	2
+ PDF Chat	Learning macroscopic parameters in nonlinear multiscale simulations using nonlocal multicontinua upscaling techniques	2020	Maria Vasilyeva Wing Tat Leung Eric T. Chung Yalchin Efendiev Mary F. Wheeler	2
+ PDF Chat	Constrained energy minimization based upscaling for coupled flow and mechanics	2018	Maria Vasilyeva Eric T. Chung Yalchin Efendiev Jihoon Kim	2