Shi, Peter

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 Author ID: shi.peter Published as: Shi, Peter; Shi, P.
 Documents Indexed: 44 Publications since 1988 Co-Authors: 17 Co-Authors with 28 Joint Publications 450 Co-Co-Authors
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Co-Authors

 8 single-authored 14 Shillor, Meir 7 Wright, Steve 4 Gilbert, Robert Pertsch 3 Andrews, Kevin T. 2 Babuška, Ivo 2 Kruk, Serge G. 2 Showalter, Ralph E. 1 Bishop, Steven R. 1 Bragg, Louis R. 1 Brown, Russell Murray 1 Cahlon, Baruch 1 Kulkarni, Devadatta M. 1 Li, Jingchun 1 Lin, Zhihong 1 Marcinek, Pawel 1 Mikelić, Andro 1 Nierman, Ryan 1 Pitonyak, A. 1 Shen, Zhongwei 1 Sofroniou, Anastasia 1 Xu, Xiangsheng 1 Xu, Yongzhi S. 1 Ye, Xiu 1 Zou, Xiulin
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Serials

 3 Journal of Mathematical Analysis and Applications 2 Applicable Analysis 2 Computer Methods in Applied Mechanics and Engineering 2 SIAM Journal on Mathematical Analysis 2 Congressus Numerantium 2 Nonlinear Analysis. Theory, Methods & Applications 1 Computers & Mathematics with Applications 1 International Journal of Control 1 Mathematical Methods in the Applied Sciences 1 Physics Letters. A 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Optimization 1 Journal of Differential Equations 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Complex Variables. Theory and Application 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 European Journal of Applied Mathematics 1 Communications in Partial Differential Equations 1 Journal of Elasticity 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Partial Differential Equations 1 Advances in Mathematical Sciences and Applications 1 International Journal of Fatigue 1 International Journal of Numerical Analysis and Modeling
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Fields

 26 Partial differential equations (35-XX) 24 Mechanics of deformable solids (74-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 5 Numerical analysis (65-XX) 3 Operator theory (47-XX) 3 Fluid mechanics (76-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)

Citations contained in zbMATH Open

32 Publications have been cited 406 times in 255 Documents Cited by Year
Equivalence of variational inequalities with Wiener-Hopf equations. Zbl 0881.35049
Shi, Peter
1991
Stepwise stability for the heat equation with a nonlocal constraint. Zbl 0831.65094
Cahlon, Baruch; Kulkarni, Devadatta M.; Shi, Peter
1995
Weak solution to an evolution problem with a nonlocal constraint. Zbl 0810.35033
Shi, Peter
1993
Thermoelastic contact with Barber’s heat exchange condition. Zbl 0807.35064
Andrews, Kevin T.; Shi, Peter; Shillor, Meir; Wright, Steve
1993
Uniqueness and stability of the solution to a thermoelastic contact problem. Zbl 0722.73058
Shi, Peter; Shillor, Meir
1990
Existence of a solution to the Stefan problem with Joule’s heating. Zbl 0805.35167
Shi, Peter; Shillor, Meir; Xu, Xiangsheng
1993
Existence of a solution to the $$n$$ dimensional problem of thermoelastic contact. Zbl 0765.73059
Shi, Peter; Shillor, Meir
1992
An iterative method for obstacle problems via Green’s functions. Zbl 0725.65068
Shi, Peter
1990
Numerical solutions to one-dimensional problems of thermoelastic contact. Zbl 0747.73055
Shi, Peter; Shillor, Meir; Zou, Xiu-Lin
1991
Nonisothermal, non-Newtonian Hele-Shaw flows. II: Asymptotics and existence of weak solutions. Zbl 0909.76004
Gilbert, R. P.; Shi, P.
1996
On an iterative method for variational inequalities. Zbl 0689.65043
Pitonyak, A.; Shi, P.; Shillor, M.
1990
Symmetry-breaking in the response of the parametrically excited pendulum model. Zbl 1136.70324
Bishop, S. R.; Sofroniou, A.; Shi, P.
2005
A quasistatic contact problem in thermoelasticity with a radiation condition for the temperature. Zbl 0771.73078
Shi, Peter; Shillor, Meir
1993
A quasi-static contact problem in linear thermoelasticity. Zbl 0748.73011
Gilbert, R. P.; Shi, P.; Shillor, M.
1990
One-dimensional thermoelastic contact with a stress-dependent radiation condition. Zbl 0770.35035
Andrews, Kevin T.; Mikelić, Andro; Shi, Peter; Shillor, Meir; Wright, Steve
1992
Higher integrability of the gradient in linear elasticity. Zbl 0806.73009
Shi, Peter; Wright, Steve
1994
Noncoercive variational inequalities with application to friction problems. Zbl 0729.49017
Shi, P.; Shillor, M.
1991
The restitution coefficient for a linear elastic rod. Zbl 1122.74429
Shi, P.
1998
Decoupling of the quasistatic system of thermoelasticity on the unit disk. Zbl 0784.73011
Shi, Peter; Xu, Yongzhi
1993
A parabolic system modeling the thermoelastic contact of two rods. Zbl 0821.35073
Andrews, Kevin T.; Shi, Peter; Shillor, Meir; Wright, Steve
1995
Simulation of impact involving an elastic rod. Zbl 0906.73021
Shi, Peter
1998
A least-square mixed method for Stokes equations. Zbl 0879.65069
Shi, P.; Ye, X.
1997
Analysis and compuation of a cyclic plasticity model by aid of Ddassl. Zbl 0892.73072
Shi, P.; Babuška, Ivo
1997
Plasticity models and nonlinear semigroups. Zbl 0897.35051
Showalter, R. E.; Shi, Peter
1997
$$W^{2,p}$$ regularity of the displacement problem for the Lamé system on $$W^{2,s}$$ domains. Zbl 0934.35041
Shi, Peter; Wright, Steve
1999
Anisotropic Hele-Shaw flows. Zbl 0687.35111
Gilbert, Robert P.; Shi, Peter
1989
Some non-classical heat problems associated with thermoelasticity. Zbl 0806.35050
Bragg, L. R.; Shi, P.
1992
Dynamic plasticity models. Zbl 0906.73029
Showalter, R. E.; Shi, Peter
1998
Interior regularity of solutions to a dynamic cyclic plasticity model in higher dimensions. Zbl 0956.35125
Shi, Peter
1999
Explicit Green matrices for linear elasticity in the half space. Zbl 1054.74592
Shi, Peter; Wright, Steve
1999
Recent advances in quasistatic contact problems of thermoelasticity. Zbl 0793.35132
Shi, P.; Shillor, M.
1993
Reduced-order filtering for networks with Markovian jumping parameters and missing measurements. Zbl 1425.93286
Peng, H.; Lu, R. Q.; Shi, P.; Xu, Y.
2019
Reduced-order filtering for networks with Markovian jumping parameters and missing measurements. Zbl 1425.93286
Peng, H.; Lu, R. Q.; Shi, P.; Xu, Y.
2019
Symmetry-breaking in the response of the parametrically excited pendulum model. Zbl 1136.70324
Bishop, S. R.; Sofroniou, A.; Shi, P.
2005
$$W^{2,p}$$ regularity of the displacement problem for the Lamé system on $$W^{2,s}$$ domains. Zbl 0934.35041
Shi, Peter; Wright, Steve
1999
Interior regularity of solutions to a dynamic cyclic plasticity model in higher dimensions. Zbl 0956.35125
Shi, Peter
1999
Explicit Green matrices for linear elasticity in the half space. Zbl 1054.74592
Shi, Peter; Wright, Steve
1999
The restitution coefficient for a linear elastic rod. Zbl 1122.74429
Shi, P.
1998
Simulation of impact involving an elastic rod. Zbl 0906.73021
Shi, Peter
1998
Dynamic plasticity models. Zbl 0906.73029
Showalter, R. E.; Shi, Peter
1998
A least-square mixed method for Stokes equations. Zbl 0879.65069
Shi, P.; Ye, X.
1997
Analysis and compuation of a cyclic plasticity model by aid of Ddassl. Zbl 0892.73072
Shi, P.; Babuška, Ivo
1997
Plasticity models and nonlinear semigroups. Zbl 0897.35051
Showalter, R. E.; Shi, Peter
1997
Nonisothermal, non-Newtonian Hele-Shaw flows. II: Asymptotics and existence of weak solutions. Zbl 0909.76004
Gilbert, R. P.; Shi, P.
1996
Stepwise stability for the heat equation with a nonlocal constraint. Zbl 0831.65094
Cahlon, Baruch; Kulkarni, Devadatta M.; Shi, Peter
1995
A parabolic system modeling the thermoelastic contact of two rods. Zbl 0821.35073
Andrews, Kevin T.; Shi, Peter; Shillor, Meir; Wright, Steve
1995
Higher integrability of the gradient in linear elasticity. Zbl 0806.73009
Shi, Peter; Wright, Steve
1994
Weak solution to an evolution problem with a nonlocal constraint. Zbl 0810.35033
Shi, Peter
1993
Thermoelastic contact with Barber’s heat exchange condition. Zbl 0807.35064
Andrews, Kevin T.; Shi, Peter; Shillor, Meir; Wright, Steve
1993
Existence of a solution to the Stefan problem with Joule’s heating. Zbl 0805.35167
Shi, Peter; Shillor, Meir; Xu, Xiangsheng
1993
A quasistatic contact problem in thermoelasticity with a radiation condition for the temperature. Zbl 0771.73078
Shi, Peter; Shillor, Meir
1993
Decoupling of the quasistatic system of thermoelasticity on the unit disk. Zbl 0784.73011
Shi, Peter; Xu, Yongzhi
1993
Recent advances in quasistatic contact problems of thermoelasticity. Zbl 0793.35132
Shi, P.; Shillor, M.
1993
Existence of a solution to the $$n$$ dimensional problem of thermoelastic contact. Zbl 0765.73059
Shi, Peter; Shillor, Meir
1992
One-dimensional thermoelastic contact with a stress-dependent radiation condition. Zbl 0770.35035
Andrews, Kevin T.; Mikelić, Andro; Shi, Peter; Shillor, Meir; Wright, Steve
1992
Some non-classical heat problems associated with thermoelasticity. Zbl 0806.35050
Bragg, L. R.; Shi, P.
1992
Equivalence of variational inequalities with Wiener-Hopf equations. Zbl 0881.35049
Shi, Peter
1991
Numerical solutions to one-dimensional problems of thermoelastic contact. Zbl 0747.73055
Shi, Peter; Shillor, Meir; Zou, Xiu-Lin
1991
Noncoercive variational inequalities with application to friction problems. Zbl 0729.49017
Shi, P.; Shillor, M.
1991
Uniqueness and stability of the solution to a thermoelastic contact problem. Zbl 0722.73058
Shi, Peter; Shillor, Meir
1990
An iterative method for obstacle problems via Green’s functions. Zbl 0725.65068
Shi, Peter
1990
On an iterative method for variational inequalities. Zbl 0689.65043
Pitonyak, A.; Shi, P.; Shillor, M.
1990
A quasi-static contact problem in linear thermoelasticity. Zbl 0748.73011
Gilbert, R. P.; Shi, P.; Shillor, M.
1990
Anisotropic Hele-Shaw flows. Zbl 0687.35111
Gilbert, Robert P.; Shi, Peter
1989
all top 5