Thoroughly understanding the LBB condition

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I'm a mechanical engineer who's just gotten into FE analysis. The more I read about FE methods for Navier-Stokes, the more I run into the "LBB condition". I understand that it talks about the order of the interpolation fields for the pressure and velocity fields and how the velocity field must be of a higher order than the pressure field. I see that its an "inf-sup" condition and all that jazz. What I don't understand is all the notation and background that is assumed when people talk about this stuff i.e. all the prerequisites.



I was hoping some one here can recommend a textbook that caters to someone who is on the sophomore-junior level that can thoroughly understand what the LBB condition is. Thanks!







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  • I would mention Brezzi-Fortin book "mixed finite element methods: theory and applications". In addition to the theory behind lbb, they also have a section on practical aspects (at linear algebra level)
    – VorKir
    Aug 20 at 0:51














up vote
0
down vote

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I'm a mechanical engineer who's just gotten into FE analysis. The more I read about FE methods for Navier-Stokes, the more I run into the "LBB condition". I understand that it talks about the order of the interpolation fields for the pressure and velocity fields and how the velocity field must be of a higher order than the pressure field. I see that its an "inf-sup" condition and all that jazz. What I don't understand is all the notation and background that is assumed when people talk about this stuff i.e. all the prerequisites.



I was hoping some one here can recommend a textbook that caters to someone who is on the sophomore-junior level that can thoroughly understand what the LBB condition is. Thanks!







share|cite|improve this question




















  • I would mention Brezzi-Fortin book "mixed finite element methods: theory and applications". In addition to the theory behind lbb, they also have a section on practical aspects (at linear algebra level)
    – VorKir
    Aug 20 at 0:51












up vote
0
down vote

favorite









up vote
0
down vote

favorite











I'm a mechanical engineer who's just gotten into FE analysis. The more I read about FE methods for Navier-Stokes, the more I run into the "LBB condition". I understand that it talks about the order of the interpolation fields for the pressure and velocity fields and how the velocity field must be of a higher order than the pressure field. I see that its an "inf-sup" condition and all that jazz. What I don't understand is all the notation and background that is assumed when people talk about this stuff i.e. all the prerequisites.



I was hoping some one here can recommend a textbook that caters to someone who is on the sophomore-junior level that can thoroughly understand what the LBB condition is. Thanks!







share|cite|improve this question












I'm a mechanical engineer who's just gotten into FE analysis. The more I read about FE methods for Navier-Stokes, the more I run into the "LBB condition". I understand that it talks about the order of the interpolation fields for the pressure and velocity fields and how the velocity field must be of a higher order than the pressure field. I see that its an "inf-sup" condition and all that jazz. What I don't understand is all the notation and background that is assumed when people talk about this stuff i.e. all the prerequisites.



I was hoping some one here can recommend a textbook that caters to someone who is on the sophomore-junior level that can thoroughly understand what the LBB condition is. Thanks!









share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Aug 18 at 0:28









shk92

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  • I would mention Brezzi-Fortin book "mixed finite element methods: theory and applications". In addition to the theory behind lbb, they also have a section on practical aspects (at linear algebra level)
    – VorKir
    Aug 20 at 0:51
















  • I would mention Brezzi-Fortin book "mixed finite element methods: theory and applications". In addition to the theory behind lbb, they also have a section on practical aspects (at linear algebra level)
    – VorKir
    Aug 20 at 0:51















I would mention Brezzi-Fortin book "mixed finite element methods: theory and applications". In addition to the theory behind lbb, they also have a section on practical aspects (at linear algebra level)
– VorKir
Aug 20 at 0:51




I would mention Brezzi-Fortin book "mixed finite element methods: theory and applications". In addition to the theory behind lbb, they also have a section on practical aspects (at linear algebra level)
– VorKir
Aug 20 at 0:51















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