976
Bibliography
Liu Z (1986) On the variational principle of finite element method for the electromagnetic field. J
Chengdu Inst Radio Eng 15(2):32–37 (in Chinese)
Liu X, Zhao R (1993) Finite element and boundary element methods in fluid mechanics. Shanghai
Jiao Tong University Press, Shanghai (in Chinese)
Liu S, Zhu Y (2002) Mathematics dictionary, vol 2. China Science & Technology Press, Shanxi
Education Press, Southeast University Press (in Chinese)
Lu S (2002) Mathematics dictionary, vol 3. China Science & Technology Press, Shanxi Education
Press, Southeast University Press (in Chinese)
Lu M, Luo X (1990) Foundation of elastic theory. Tsinghua University Press, Beijing (in Chinese)
McCorquodale JA (1970) Variational approach to non-Darcy flow. J Hydraulics Div ASCE,
96(HY11):2265–2278 (Proceedings)
Merches I (1969) Variational principle in magnetohydrodynamics. Phys Fluids 12(10):2225–2227
Neal Moore E (1983) Theoretical mechanics. Wiley, New York
Ou W, Liang J (1987) Variational methods and their applications. Shaanxi Science and Technology
Press, Xi’an (in Chinese)
Pan LJ (1989) Variational method for adiabatic compression of plasma with poloidal and toroidal
rotation. Plasma Phys Controll Fusion 31(6):1005–1013
Pan X (2018) Mathematical problems of boundary layer behavior of superconductivity and liquid
crystals. Sci Sinica Math 48(1): 83–110 (in Chinese)
Pan X-B, Qi Y (2000) Asymptotics of minimizers of variational problems involving curl functional.
J Math Phys 41(7):5033–5063
Peng X, Guo Z (2003) Variation analysis of the stability of circular arch. J Huaqiao Univ (Nat Sci)
24(3):271–274 (in Chinese)
Peng X, Luo R (1983) Variational methods and their applications. Huazhong University of Science
and Technology Press, Wuhan (in Chinese)
Qian Z, Diao Y (1989) The variational method for the optimal membrance shape of the cardiac
valve prostheses. J Eng Math 6(1):123–126 (in Chinese)
Reddy JN (1986) Applied functional analysis and variational methods in engineering. McGraw-Hill
Book Company, New York
Reichl LE (1980) A modern course in statistical physics. University of Texas Press, Austin, pp
117–118
Rektorys K (1980) Variational methods in mathematics, science and engineering, 2nd edn. D. Reidel
Publishing Company, Dordrecht
Rosen P (1953) On variational principles for irreversible processes. J Chem Phys 21(7):1220–1221
Rudin LI, Osher S, Fatemi E (1992) Nonlinear total variation based noise removal algorithms.
Physica D 60:259–268
Sabry Hassouna M, Farag AA (2009) Variational curve skeletons using gradient vector flow. IEEE
Trans Pattern Anal Mach Intell 31(12):2257–2273
Science Press Noun Office (2002) The new English–Chinese dictionary of mathematics. Science
Press, Beijing (in Chinese)
Sheng J (1983) Variational principles in the electromagnetic field. Inst High Educ Electr Eng Course
Teach Commun 24:1–7 (in Chinese)
Shi Z, Han Y (1987) A course of elastic mechanics. Beihang University Press, Beijing (in Chinese)
Su J (1991) Euler equation with differential operator ∇. J Harbin Shipbuilding Eng Inst 12(1):134–
139 (in Chinese)
Su J, Pan J, Fang Y, Di C (1993) Functional analysis and variational methods. University of Science
and Technology Press, Hefei (in Chinese)
Tai T (1982) On various variational principles in nonlinear theory of elasticity. Appl Math Mech
3(5):585–596 (in Chinese)
Tang X, Lu L, Liu G et al (2009) The variational approach to capillary action. College Phys
28(4):26–28 (in Chinese)
Bibliography
Liu Z (1986) On the variational principle of finite element method for the electromagnetic field. J
Chengdu Inst Radio Eng 15(2):32–37 (in Chinese)
Liu X, Zhao R (1993) Finite element and boundary element methods in fluid mechanics. Shanghai
Jiao Tong University Press, Shanghai (in Chinese)
Liu S, Zhu Y (2002) Mathematics dictionary, vol 2. China Science & Technology Press, Shanxi
Education Press, Southeast University Press (in Chinese)
Lu S (2002) Mathematics dictionary, vol 3. China Science & Technology Press, Shanxi Education
Press, Southeast University Press (in Chinese)
Lu M, Luo X (1990) Foundation of elastic theory. Tsinghua University Press, Beijing (in Chinese)
McCorquodale JA (1970) Variational approach to non-Darcy flow. J Hydraulics Div ASCE,
96(HY11):2265–2278 (Proceedings)
Merches I (1969) Variational principle in magnetohydrodynamics. Phys Fluids 12(10):2225–2227
Neal Moore E (1983) Theoretical mechanics. Wiley, New York
Ou W, Liang J (1987) Variational methods and their applications. Shaanxi Science and Technology
Press, Xi’an (in Chinese)
Pan LJ (1989) Variational method for adiabatic compression of plasma with poloidal and toroidal
rotation. Plasma Phys Controll Fusion 31(6):1005–1013
Pan X (2018) Mathematical problems of boundary layer behavior of superconductivity and liquid
crystals. Sci Sinica Math 48(1): 83–110 (in Chinese)
Pan X-B, Qi Y (2000) Asymptotics of minimizers of variational problems involving curl functional.
J Math Phys 41(7):5033–5063
Peng X, Guo Z (2003) Variation analysis of the stability of circular arch. J Huaqiao Univ (Nat Sci)
24(3):271–274 (in Chinese)
Peng X, Luo R (1983) Variational methods and their applications. Huazhong University of Science
and Technology Press, Wuhan (in Chinese)
Qian Z, Diao Y (1989) The variational method for the optimal membrance shape of the cardiac
valve prostheses. J Eng Math 6(1):123–126 (in Chinese)
Reddy JN (1986) Applied functional analysis and variational methods in engineering. McGraw-Hill
Book Company, New York
Reichl LE (1980) A modern course in statistical physics. University of Texas Press, Austin, pp
117–118
Rektorys K (1980) Variational methods in mathematics, science and engineering, 2nd edn. D. Reidel
Publishing Company, Dordrecht
Rosen P (1953) On variational principles for irreversible processes. J Chem Phys 21(7):1220–1221
Rudin LI, Osher S, Fatemi E (1992) Nonlinear total variation based noise removal algorithms.
Physica D 60:259–268
Sabry Hassouna M, Farag AA (2009) Variational curve skeletons using gradient vector flow. IEEE
Trans Pattern Anal Mach Intell 31(12):2257–2273
Science Press Noun Office (2002) The new English–Chinese dictionary of mathematics. Science
Press, Beijing (in Chinese)
Sheng J (1983) Variational principles in the electromagnetic field. Inst High Educ Electr Eng Course
Teach Commun 24:1–7 (in Chinese)
Shi Z, Han Y (1987) A course of elastic mechanics. Beihang University Press, Beijing (in Chinese)
Su J (1991) Euler equation with differential operator ∇. J Harbin Shipbuilding Eng Inst 12(1):134–
139 (in Chinese)
Su J, Pan J, Fang Y, Di C (1993) Functional analysis and variational methods. University of Science
and Technology Press, Hefei (in Chinese)
Tai T (1982) On various variational principles in nonlinear theory of elasticity. Appl Math Mech
3(5):585–596 (in Chinese)
Tang X, Lu L, Liu G et al (2009) The variational approach to capillary action. College Phys
28(4):26–28 (in Chinese)