Ilona Ambartsumyan

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All published works
Action Title Year Authors
+ PDF Chat A multipoint stress mixed finite element method for elasticity on quadrilateral grids 2020 Ilona Ambartsumyan
Eldar Khattatov
Jan M. Nordbotten
Ivan Yotov
+ PDF Chat A coupled multipoint stress–multipoint flux mixed finite element method for the Biot system of poroelasticity 2020 Ilona Ambartsumyan
Eldar Khattatov
Ivan Yotov
+ Hierarchical Matrix Approximations of Hessians Arising in Inverse Problems Governed by PDEs. 2020 Ilona Ambartsumyan
Wajih Boukaram
Tan Bui‐Thanh
Omar Ghattas
David E. Keyes
Georg Stadler
George Turkiyyah
Stefano Zampini
+ PDF Chat A Multipoint Stress Mixed Finite Element Method for Elasticity on Simplicial Grids 2020 Ilona Ambartsumyan
Eldar Khattatov
Jan M. Nordbotten
Ivan Yotov
+ PDF Chat Hierarchical Matrix Approximations of Hessians Arising in Inverse Problems Governed by PDEs 2020 Ilona Ambartsumyan
Wajih Boukaram
Tan Bui‐Thanh
Omar Ghattas
David E. Keyes
Georg Stadler
George Turkiyyah
Stefano Zampini
+ Hierarchical Matrix Approximations of Hessians Arising in Inverse Problems Governed by PDEs 2020 Ilona Ambartsumyan
Wajih Boukaram
Tan Bui‐Thanh
Omar Ghattas
David E. Keyes
Georg Stadler
George Turkiyyah
Stefano Zampini
+ PDF Chat Stochastic multiscale flux basis for Stokes-Darcy flows 2019 Ilona Ambartsumyan
Eldar Khattatov
Changqing Wang
Ivan Yotov
+ A nonlinear Stokes–Biot model for the interaction of a non-Newtonian fluid with poroelastic media 2019 Ilona Ambartsumyan
Vincent J. Ervin
Truong Nguyen
Ivan Yotov
+ PDF Chat Higher order multipoint flux mixed finite element methods on quadrilaterals and hexahedra 2019 Ilona Ambartsumyan
Eldar Khattatov
Jeonghun J. Lee
Ivan Yotov
+ A multipoint stress mixed finite element method for elasticity on quadrilateral grids 2018 Ilona Ambartsumyan
Eldar Khattatov
Jan M. Nordbotten
Ivan Yotov
+ Mathematical and Numerical Modeling of Fluid-Poroelastic Structure Interaction 2018 Ilona Ambartsumyan
+ A multipoint stress mixed finite element method for elasticity on simplicial grids 2018 Ilona Ambartsumyan
Eldar Khattatov
Jan M. Nordbotten
Ivan Yotov
+ PDF Chat A Lagrange multiplier method for a Stokes–Biot fluid–poroelastic structure interaction model 2018 Ilona Ambartsumyan
Eldar Khattatov
Ivan Yotov
Paolo Zunino
+ A nonlinear Stokes-Biot model for the interaction of a non-Newtonian fluid with poroelastic media I: well-posedness of the model 2018 Ilona Ambartsumyan
Vincent J. Ervin
Truong Nguyen
Ivan Yotov
+ A nonlinear Stokes-Biot model for the interaction of a non-Newtonian fluid with poroelastic media. 2018 Ilona Ambartsumyan
Vincent J. Ervin
Truong Nguyen
Ivan Yotov
+ Stochastic multiscale flux basis for Stokes-Darcy flows 2018 Ilona Ambartsumyan
Eldar Khattatov
Changqing Wang
Ivan Yotov
+ A multipoint stress mixed finite element method for elasticity on quadrilateral grids 2018 Ilona Ambartsumyan
Eldar Khattatov
Jan M. Nordbotten
Ivan Yotov
+ A multipoint stress mixed finite element method for elasticity on simplicial grids 2018 Ilona Ambartsumyan
Eldar Khattatov
Jan M. Nordbotten
Ivan Yotov
+ A nonlinear Stokes-Biot model for the interaction of a non-Newtonian fluid with poroelastic media 2018 Ilona Ambartsumyan
Vincent J. Ervin
Truong Q. Nguyen
Ivan Yotov
+ Stochastic multiscale flux basis for Stokes-Darcy flows 2018 Ilona Ambartsumyan
Eldar Khattatov
Changqing Wang
Ivan Yotov
+ A Lagrange multiplier method for a Stokes-Biot fluid-poroelastic structure interaction model 2017 Ilona Ambartsumyan
Eldar Khattatov
Ivan Yotov
Paolo Zunino
+ Higher order multipoint flux mixed finite element methods on quadrilaterals and hexahedra 2017 Ilona Ambartsumyan
Eldar Khattatov
Jeonghun Lee
Ivan Yotov
+ Mixed Finite Volume Methods for Linear Elasticity 2017 Ilona Ambartsumyan
Eldar Khattatov
Ivan Yotov
+ Higher order multipoint flux mixed finite element methods on quadrilaterals and hexahedra 2017 Ilona Ambartsumyan
Eldar Khattatov
Jeonghun Lee
Ivan Yotov
+ A Lagrange multiplier method for a Stokes-Biot fluid-poroelastic structure interaction model 2017 Ilona Ambartsumyan
Eldar Khattatov
Ivan Yotov
Paolo Zunino
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ None 1998 Michael G. Edwards
Clive F. Rogers
7
+ PDF Chat Finite volume methods for elasticity with weak symmetry 2017 Eirik Keilegavlen
Jan M. Nordbotten
5
+ Convergence of a Cell-Centered Finite Volume Discretization for Linear Elasticity 2015 Jan M. Nordbotten
5
+ PDF Chat Mixed finite element methods for linear elasticity with weakly imposed symmetry 2007 Douglas N. Arnold
Richard S. Falk
Ragnar Winther
5
+ PDF Chat Mixed finite elements for elasticity on quadrilateral meshes 2014 Douglas N. Arnold
Gerard Awanou
Weifeng Qiu
5
+ Nonlinear Degenerate Evolution Equations in Mixed Formulation 2010 R. E. Showalter
5
+ PDF Chat Partitioning strategies for the interaction of a fluid with a poroelastic material based on a Nitsche’s coupling approach 2014 Martina Bukač
Ivan Yotov
Rana Zakerzadeh
Paolo Zunino
4
+ Mixed Finite Element Methods and Applications 2013 Daniele Boffi
Franco Brezzi
Michel Fortin
4
+ New development in freefem++ 2012 Frédéric Hecht
4
+ Elliptic Problems in Nonsmooth Domains 2011 Pierre Grisvard
4
+ PDF Chat Rectangular mixed elements for elasticity with weakly imposed symmetry condition 2011 Gerard Awanou
4
+ PDF Chat Towards a unified analysis of mixed methods for elasticity with weakly symmetric stress 2015 Jeonghun J. Lee
4
+ Non-Homogeneous Boundary Value Problems and Applications 1973 J. L. Lions
Enrico Magenes
3
+ Elliptic Boundary Value Problems on Corner Domains: Smoothness and Asymptotics of Solutions 1988 Monique Dauge
3
+ Monotone Operators in Banach Space and Nonlinear Partial Differential Equations 2013 R. E. Showalter
3
+ PDF Chat A hybrid high-order locking-free method for linear elasticity on general meshes 2014 Daniele A. Di Pietro
Alexandre Ern
2
+ Balancing domain decomposition 1993 Jan Mandel
2
+ PDF Chat A Computational Framework for Infinite-Dimensional Bayesian Inverse Problems, Part II: Stochastic Newton MCMC with Application to Ice Sheet Flow Inverse Problems 2014 Noémi Petra
James L. Martin
Georg Stadler
Omar Ghattas
2
+ Coupled Generalized Nonlinear Stokes Flow with Flow through a Porous Medium 2009 Vincent J. Ervin
Eleanor W. Jenkins
Shuyu Sun
2
+ PDF Chat Mesh Independence for Nonlinear Least Squares Problems with Norm Constraints 1993 Matthias Heinkenschloss
2
+ A Hybrid High-Order method for Leray–Lions elliptic equations on general meshes 2016 Daniele A. Di Pietro
Jérôme Droniou
2
+ An efficient computation of generalized inverse of a matrix 2017 Victor Y. Pan
Fazlollah Soleymani
Liang Zhao
2
+ PDF Chat Dimension-independent likelihood-informed MCMC 2015 Tiangang Cui
Kody J. H. Law
Youssef Marzouk
2
+ PDF Chat Approximate iterations for structured matrices 2008 Wolfgang Hackbusch
Boris N. Khoromskij
Е. Е. Тыртышников
2
+ PDF Chat Low-Rank Approximation of Elliptic Boundary Value Problems with High-Contrast Coefficients 2016 Mario Bebendorf
2
+ PDF Chat Global estimates for mixed methods for second order elliptic equations 1985 Jim Douglas
Jean E. Roberts
2
+ Choosing the Forcing Terms in an Inexact Newton Method 1996 Stanley C. Eisenstat
Homer F. Walker
2
+ PDF Chat Error estimates for Raviart-Thomas interpolation of any order on anisotropic tetrahedra 2010 Gabriel Acosta
Thomas Apel
Ricardo G. Durán
Ariel L. Lombardi
2
+ PDF Chat Adaptive multiscale model reduction with Generalized Multiscale Finite Element Methods 2016 Eric T. Chung
Yalchin Efendiev
Thomas Y. Hou
2
+ Analysis of the coupled Navier–Stokes/Biot problem 2017 Ayçıl Çeşmeli̇oğlu
2
+ Tensor Decompositions and Applications 2009 Tamara G. Kolda
Brett W. Bader
2
+ PDF Chat Finding Structure with Randomness: Probabilistic Algorithms for Constructing Approximate Matrix Decompositions 2011 Nathan Halko
Per‐Gunnar Martinsson
Joel A. Tropp
2
+ Weak and Measure-valued Solutions to Evolutionary PDEs 2019 Josef Málek
J. Nečas
Mirko Rokyta
Michael Růžička
2
+ Geometric MCMC for infinite-dimensional inverse problems 2016 Alexandros Beskos
Mark Girolami
Shiwei Lan
Patrick E. Farrell
Andrew M. Stuart
2
+ Superconvergence of the Velocity Along the Gauss Lines in Mixed Finite Element Methods 1991 Richard E. Ewing
Raytcho Lazarov
J. Wang
2
+ None 2003 Cai
Jr. Jim Douglas
Park
2
+ Analysis of the Hessian for inverse scattering problems: II. Inverse medium scattering of acoustic waves 2012 Tan Bui‐Thanh
Omar Ghattas
2
+ Convergence analysis of a subdomain iterative method for the finite element approximation of the coupling of Stokes and Darcy equations 2004 Marco Discacciati
Alfio Quarteroni
2
+ PDF Chat Fast construction of hierarchical matrix representation from matrix–vector multiplication 2011 Lin Lin
Jianfeng Lu
Lexing Ying
2
+ A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data 2008 Fabio Nobile
Raúl Tempone
Clayton Webster
2
+ PDF Chat Mixed Generalized Multiscale Finite Element Methods and Applications 2015 Eric T. Chung
Yalchin Efendiev
Chak Shing Lee
2
+ PDF Chat MIXED FINITE ELEMENT METHODS: IMPLEMENTATION WITH ONE UNKNOWN PER ELEMENT, LOCAL FLUX EXPRESSIONS, POSITIVITY, POLYGONAL MESHES, AND RELATIONS TO OTHER METHODS 2012 Martin Vohralı́k
Barbara Wohlmuth
2
+ PDF Chat Generalized multiscale finite element methods (GMsFEM) 2013 Yalchin Efendiev
Juan Galvis
Thomas Y. Hou
2
+ PDF Chat Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems 2002 Douglas N. Arnold
Franco Brezzi
Bernardo Cockburn
L. D. Marini
2
+ PDF Chat NONCONFORMING TETRAHEDRAL MIXED FINITE ELEMENTS FOR ELASTICITY 2013 Douglas N. Arnold
Gerard Awanou
Ragnar Winther
2
+ On the Numerical Properties of an Iterative Method for Computing the Moore–Penrose Generalized Inverse 1974 Torsten Söderström
G. W. Stewart
2
+ A Stochastic Newton MCMC Method for Large-Scale Statistical Inverse Problems with Application to Seismic Inversion 2012 James L. Martin
Lucas C. Wilcox
Carsten Burstedde
Omar Ghattas
2
+ A method of finite element tearing and interconnecting and its parallel solution algorithm 1991 Charbel Farhat
François‐Xavier Roux
2
+ High-Order Collocation Methods for Differential Equations with Random Inputs 2005 Dongbin Xiu
Jan S. Hesthaven
2
+ Approximate Calculation of Multiple Integrals 1973 W. G.
A. H. Stroud
2