Objective To study three - dimensional finite element analysis for external midface distraction after different osteotomy in patients with cleft lip and palate ( Clp) . Methods Three - dimensional Fem models of Le Fo...Objective To study three - dimensional finite element analysis for external midface distraction after different osteotomy in patients with cleft lip and palate ( Clp) . Methods Three - dimensional Fem models of Le Fort Ⅰ,Ⅱand Ⅲ,osteotomy in Clp patients were estabolished. External midface distraction were simulated. An anteriorly and inferiorly directed 900 g force was展开更多
In this paper,a new finite element and finite difference(FE-FD)method has been developed for anisotropic parabolic interface problems with a known moving interface using Cartesian meshes.In the spatial discretization,...In this paper,a new finite element and finite difference(FE-FD)method has been developed for anisotropic parabolic interface problems with a known moving interface using Cartesian meshes.In the spatial discretization,the standard P,FE discretization is applied so that the part of the coefficient matrix is symmetric positive definite,while near the interface,the maximum principle preserving immersed interface discretization is applied.In the time discretization,a modified Crank-Nicolson discretization is employed so that the hybrid FE-FD is stable and second order accurate.Correction terms are needed when the interface crosses grid lines.The moving interface is represented by the zero level set of a Lipschitz continuous function.Numerical experiments presented in this paper confirm second orderconvergence.展开更多
As we have stated in conclusion of PART IV of these series,here in PART V,we will show how to find the solution for the governing equation of heat conduction as it was setup in PART IV,given the boundary and initial c...As we have stated in conclusion of PART IV of these series,here in PART V,we will show how to find the solution for the governing equation of heat conduction as it was setup in PART IV,given the boundary and initial conditions for Eq.(156)by means of exact and numerical methods.The different sections provided in here as PART V is consisting of a discussion of the approximate solution of the problem using mathematical tools and divided into four other sections parts as illustrated in this part.First four section namely 2.0,3.0,4.0 and 5.0 present an analytical method of the solution of the general governing equation using the Fourier theory.Section 6.0 is considering interaction of laser energy with materials using very short laser pulses and introduces electron-phonon theory approach to solve the heat transfer problem of the interaction of ultra-short pulses with the matter.Section 7.0 describes heating analysis with time-dependent pulse intensity and where evaporation is considered as the exclusive phenomenon taking place during the ablation process.Section 8.0 presents the heating analysis with pulsed laser heating process by considering both Fourier conduction and electron-phonon kinetic theory approaches.Finally,Section 9.0 consists of a discussion of the approximate solution of the problem using the Finite Difference Method(FDM)and Finite Element Method(FEM),and presents the computer solutions developed.展开更多
As we have stated in conclusion of PART IV of these series including PART V,here in wrapping up and ending these series,we are producing with PART VI,which is nothing more than continuation of PART V.
文摘Objective To study three - dimensional finite element analysis for external midface distraction after different osteotomy in patients with cleft lip and palate ( Clp) . Methods Three - dimensional Fem models of Le Fort Ⅰ,Ⅱand Ⅲ,osteotomy in Clp patients were estabolished. External midface distraction were simulated. An anteriorly and inferiorly directed 900 g force was
基金partially supported by the National Natural Science Foundation of China(Grant No.12261070)the Ningxia Key Research and Development Project of China(Grant No.2022BSB03048)+2 种基金partially supported by the Simons(Grant No.633724)and by Fundacion Seneca grant 21760/IV/22partially supported by the Spanish national research project PID2019-108336GB-I00by Fundacion Séneca grant 21728/EE/22.Este trabajo es resultado de las estancias(21760/IV/22)y(21728/EE/22)financiadas por la Fundacion Séneca-Agencia de Ciencia y Tecnologia de la Region de Murcia con cargo al Programa Regional de Movilidad,Colaboracion Internacional e Intercambio de Conocimiento"Jimenez de la Espada".(Plan de Actuacion 2022).
文摘In this paper,a new finite element and finite difference(FE-FD)method has been developed for anisotropic parabolic interface problems with a known moving interface using Cartesian meshes.In the spatial discretization,the standard P,FE discretization is applied so that the part of the coefficient matrix is symmetric positive definite,while near the interface,the maximum principle preserving immersed interface discretization is applied.In the time discretization,a modified Crank-Nicolson discretization is employed so that the hybrid FE-FD is stable and second order accurate.Correction terms are needed when the interface crosses grid lines.The moving interface is represented by the zero level set of a Lipschitz continuous function.Numerical experiments presented in this paper confirm second orderconvergence.
文摘As we have stated in conclusion of PART IV of these series,here in PART V,we will show how to find the solution for the governing equation of heat conduction as it was setup in PART IV,given the boundary and initial conditions for Eq.(156)by means of exact and numerical methods.The different sections provided in here as PART V is consisting of a discussion of the approximate solution of the problem using mathematical tools and divided into four other sections parts as illustrated in this part.First four section namely 2.0,3.0,4.0 and 5.0 present an analytical method of the solution of the general governing equation using the Fourier theory.Section 6.0 is considering interaction of laser energy with materials using very short laser pulses and introduces electron-phonon theory approach to solve the heat transfer problem of the interaction of ultra-short pulses with the matter.Section 7.0 describes heating analysis with time-dependent pulse intensity and where evaporation is considered as the exclusive phenomenon taking place during the ablation process.Section 8.0 presents the heating analysis with pulsed laser heating process by considering both Fourier conduction and electron-phonon kinetic theory approaches.Finally,Section 9.0 consists of a discussion of the approximate solution of the problem using the Finite Difference Method(FDM)and Finite Element Method(FEM),and presents the computer solutions developed.
文摘As we have stated in conclusion of PART IV of these series including PART V,here in wrapping up and ending these series,we are producing with PART VI,which is nothing more than continuation of PART V.
