2017 - THE THOMAS J.R. HUGHES MEDAL For fundamental contributions to numerical partial differential equations, especially advances in the development and analysis of new stabilized and compatible finite element methods, and software design for advanced discretizations
2012 - SIAM Fellow For contributions to numerical partial differential equations, especially least-squares finite element methods, stabilized finite element methods, and software.
Pavel B. Bochev mostly deals with Finite element method, Mathematical analysis, Extended finite element method, Mixed finite element method and Least squares. The study incorporates disciplines such as Calculus, Positive-definite matrix, Linear system and Applied mathematics in addition to Finite element method. Pavel B. Bochev has included themes like Discontinuous Galerkin method, Navier–Stokes equations and Rate of convergence in his Mathematical analysis study.
His research in Extended finite element method intersects with topics in Numerical partial differential equations and Mathematical optimization. As part of the same scientific family, Pavel B. Bochev usually focuses on Numerical partial differential equations, concentrating on Smoothed finite element method and intersecting with Regular polygon. His studies examine the connections between Least squares and genetics, as well as such issues in Curl, with regards to Algebraic equation.
The scientist’s investigation covers issues in Finite element method, Mathematical analysis, Applied mathematics, Mathematical optimization and Mixed finite element method. Pavel B. Bochev specializes in Finite element method, namely Galerkin method. His Mathematical analysis study combines topics in areas such as Navier–Stokes equations and Scalar.
His research in Applied mathematics focuses on subjects like Numerical analysis, which are connected to Rate of convergence and Algebraic number. His Mathematical optimization study incorporates themes from Stiffness matrix and Domain decomposition methods. His study explores the link between Mixed finite element method and topics such as Extended finite element method that cross with problems in Smoothed finite element method.
Pavel B. Bochev mainly focuses on Applied mathematics, Coupling, Finite element method, Partial differential equation and Discretization. His Applied mathematics study combines topics from a wide range of disciplines, such as Domain decomposition methods and Finite volume method. In his research, Pavel B. Bochev undertakes multidisciplinary study on Finite element method and Regression.
His Partial differential equation research integrates issues from Statistical physics, Interface and Domain. His work investigates the relationship between Discretization and topics such as Moving least squares that intersect with problems in Galerkin method, Bilinear form, Polynomial basis and Discontinuous Galerkin method. His study in Boundary value problem is interdisciplinary in nature, drawing from both Lagrange multiplier, Implicit function, Algebraic equation, Schur complement and Condition number.
Pavel B. Bochev mainly investigates Applied mathematics, Finite element method, Boundary value problem, Statistical physics and Coupling. His studies deal with areas such as Mesh generation, Discretization, Conservation law, Contraction and Finite volume method as well as Applied mathematics. His Finite element method research incorporates elements of Approximations of π, Implicit function, Algebraic equation, Schur complement and Order.
His work carried out in the field of Boundary value problem brings together such families of science as Lagrange multiplier, Computation, Condition number, Numerical analysis and Domain. The Statistical physics study combines topics in areas such as Basis, Partial differential equation and Fracture mechanics. In his papers, he integrates diverse fields, such as Coupling, Energy, Microscale chemistry, Interface and Limit.
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Least-Squares Finite Element Methods
Pavel B. Bochev;Max D Gunzburger.
Stabilization of Low-order Mixed Finite Elements for the Stokes Equations
Pavel B. Bochev;Clark R. Dohrmann;Max D. Gunzburger.
SIAM Journal on Numerical Analysis (2006)
Finite Element Methods of Least-Squares Type
Pavel B. Bochev;Max D. Gunzburger.
Siam Review (1998)
A stabilized finite element method for the Stokes problem based on polynomial pressure projections
Clark R. Dohrmann;Pavel B. Bochev.
International Journal for Numerical Methods in Fluids (2004)
Principles of Mimetic Discretizations of Differential Operators
Pavel B. Bochev;James M. Hyman.
On the Finite Element Solution of the Pure Neumann Problem
Pavel Bochev;R. B. Lehoucq.
Siam Review (2005)
Analysis of least squares finite element methods for the Stokes equations
Pavel B. Bochev;Max D. Gunzburger.
Mathematics of Computation (1994)
A multiscale discontinuous Galerkin method with the computational structure of a continuous Galerkin method
Thomas J.R. Hughes;Guglielmo Scovazzi;Pavel B. Bochev;Annalisa Buffa.
Computer Methods in Applied Mechanics and Engineering (2006)
Analysis of Velocity-Flux First-Order System Least-Squares Principles for the Navier--Stokes Equations: Part I
P. Bochev;Z. Cai;T. A. Manteuffel;S. F. McCormick.
SIAM Journal on Numerical Analysis (1998)
On Atomistic-to-Continuum Coupling by Blending
Santiago Badia;Michael L. Parks;Pavel B. Bochev;Max D. Gunzburger.
Multiscale Modeling & Simulation (2008)
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